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Finding the Fourth Proportional to 102,654.56, 153,032.93 and 101,036.86

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Solution

The fourth proportional to 102,654.56, 153,032.93 and 101,036.86 is: 150,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.56 : 153,032.93 = 101,036.86 : x
  2. Step 2: Convert to fraction form
    102,654.56/153,032.93 = 101,036.86/x
  3. Step 3: Cross multiply
    102,654.56x = 153,032.93 × 101,036.86
  4. Step 4: Simplify right side
    102,654.56x = 15,461,966,723.80
  5. Step 5: Solve for x
    x = 15,461,966,723.80/102,654.56
  6. Step 6: Final answer
    x = 150,621.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.