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Finding the Fourth Proportional to 191,397.26, 286,989.78 and 77,442.14

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Solution

The fourth proportional to 191,397.26, 286,989.78 and 77,442.14 is: 116,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,397.26 : 286,989.78 = 77,442.14 : x
  2. Step 2: Convert to fraction form
    191,397.26/286,989.78 = 77,442.14/x
  3. Step 3: Cross multiply
    191,397.26x = 286,989.78 × 77,442.14
  4. Step 4: Simplify right side
    191,397.26x = 22,225,102,721.33
  5. Step 5: Solve for x
    x = 22,225,102,721.33/191,397.26
  6. Step 6: Final answer
    x = 116,120.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.