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Finding the Fourth Proportional to 285,685.01, 428,533.59 and 96,151.13

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Solution

The fourth proportional to 285,685.01, 428,533.59 and 96,151.13 is: 144,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,685.01 : 428,533.59 = 96,151.13 : x
  2. Step 2: Convert to fraction form
    285,685.01/428,533.59 = 96,151.13/x
  3. Step 3: Cross multiply
    285,685.01x = 428,533.59 × 96,151.13
  4. Step 4: Simplify right side
    285,685.01x = 41,203,988,921.46
  5. Step 5: Solve for x
    x = 41,203,988,921.46/285,685.01
  6. Step 6: Final answer
    x = 144,228.74

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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.