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Finding the Fourth Proportional to 212,809.74, 293,677.47 and 117,315.42

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Solution

The fourth proportional to 212,809.74, 293,677.47 and 117,315.42 is: 161,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.74 : 293,677.47 = 117,315.42 : x
  2. Step 2: Convert to fraction form
    212,809.74/293,677.47 = 117,315.42/x
  3. Step 3: Cross multiply
    212,809.74x = 293,677.47 × 117,315.42
  4. Step 4: Simplify right side
    212,809.74x = 34,452,895,737.59
  5. Step 5: Solve for x
    x = 34,452,895,737.59/212,809.74
  6. Step 6: Final answer
    x = 161,895.30

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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.