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Finding the Fourth Proportional to 157,017.76, 216,678.27 and 85,397.74

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Solution

The fourth proportional to 157,017.76, 216,678.27 and 85,397.74 is: 117,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,017.76 : 216,678.27 = 85,397.74 : x
  2. Step 2: Convert to fraction form
    157,017.76/216,678.27 = 85,397.74/x
  3. Step 3: Cross multiply
    157,017.76x = 216,678.27 × 85,397.74
  4. Step 4: Simplify right side
    157,017.76x = 18,503,834,565.11
  5. Step 5: Solve for x
    x = 18,503,834,565.11/157,017.76
  6. Step 6: Final answer
    x = 117,845.49

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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.