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Finding the Fourth Proportional to 212,535, 293,298.30 and 117,041.49

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Solution

The fourth proportional to 212,535, 293,298.30 and 117,041.49 is: 161,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,535 : 293,298.30 = 117,041.49 : x
  2. Step 2: Convert to fraction form
    212,535/293,298.30 = 117,041.49/x
  3. Step 3: Cross multiply
    212,535x = 293,298.30 × 117,041.49
  4. Step 4: Simplify right side
    212,535x = 34,328,070,046.47
  5. Step 5: Solve for x
    x = 34,328,070,046.47/212,535
  6. Step 6: Final answer
    x = 161,517.26

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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.