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Finding the Fourth Proportional to 212,509.74, 293,257.74 and 117,017.22

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Solution

The fourth proportional to 212,509.74, 293,257.74 and 117,017.22 is: 161,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,509.74 : 293,257.74 = 117,017.22 : x
  2. Step 2: Convert to fraction form
    212,509.74/293,257.74 = 117,017.22/x
  3. Step 3: Cross multiply
    212,509.74x = 293,257.74 × 117,017.22
  4. Step 4: Simplify right side
    212,509.74x = 34,316,205,478.28
  5. Step 5: Solve for x
    x = 34,316,205,478.28/212,509.74
  6. Step 6: Final answer
    x = 161,480.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.