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Finding the Fourth Proportional to 151,151.20, 208,502.01 and 94,464.16

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Solution

The fourth proportional to 151,151.20, 208,502.01 and 94,464.16 is: 130,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,151.20 : 208,502.01 = 94,464.16 : x
  2. Step 2: Convert to fraction form
    151,151.20/208,502.01 = 94,464.16/x
  3. Step 3: Cross multiply
    151,151.20x = 208,502.01 × 94,464.16
  4. Step 4: Simplify right side
    151,151.20x = 19,695,967,232.96
  5. Step 5: Solve for x
    x = 19,695,967,232.96/151,151.20
  6. Step 6: Final answer
    x = 130,306.39

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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.