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Finding the Fourth Proportional to 253,833.12, 380,719.98 and 102,024.12

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Solution

The fourth proportional to 253,833.12, 380,719.98 and 102,024.12 is: 153,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,833.12 : 380,719.98 = 102,024.12 : x
  2. Step 2: Convert to fraction form
    253,833.12/380,719.98 = 102,024.12/x
  3. Step 3: Cross multiply
    253,833.12x = 380,719.98 × 102,024.12
  4. Step 4: Simplify right side
    253,833.12x = 38,842,620,925.92
  5. Step 5: Solve for x
    x = 38,842,620,925.92/253,833.12
  6. Step 6: Final answer
    x = 153,024.24

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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.