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Finding the Fourth Proportional to 257,854.74, 386,784.06 and 97,887.57

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Solution

The fourth proportional to 257,854.74, 386,784.06 and 97,887.57 is: 146,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.74 : 386,784.06 = 97,887.57 : x
  2. Step 2: Convert to fraction form
    257,854.74/386,784.06 = 97,887.57/x
  3. Step 3: Cross multiply
    257,854.74x = 386,784.06 × 97,887.57
  4. Step 4: Simplify right side
    257,854.74x = 37,861,351,748.13
  5. Step 5: Solve for x
    x = 37,861,351,748.13/257,854.74
  6. Step 6: Final answer
    x = 146,832.10

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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.