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Finding the Fourth Proportional to 262,085.76, 392,895.92 and 102,124.64

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Solution

The fourth proportional to 262,085.76, 392,895.92 and 102,124.64 is: 153,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,085.76 : 392,895.92 = 102,124.64 : x
  2. Step 2: Convert to fraction form
    262,085.76/392,895.92 = 102,124.64/x
  3. Step 3: Cross multiply
    262,085.76x = 392,895.92 × 102,124.64
  4. Step 4: Simplify right side
    262,085.76x = 40,124,354,387.47
  5. Step 5: Solve for x
    x = 40,124,354,387.47/262,085.76
  6. Step 6: Final answer
    x = 153,096.28

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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.