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Finding the Fourth Proportional to 341,990.52, 513,011.57 and 102,085.47

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Solution

The fourth proportional to 341,990.52, 513,011.57 and 102,085.47 is: 153,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,990.52 : 513,011.57 = 102,085.47 : x
  2. Step 2: Convert to fraction form
    341,990.52/513,011.57 = 102,085.47/x
  3. Step 3: Cross multiply
    341,990.52x = 513,011.57 × 102,085.47
  4. Step 4: Simplify right side
    341,990.52x = 52,371,026,728.46
  5. Step 5: Solve for x
    x = 52,371,026,728.46/341,990.52
  6. Step 6: Final answer
    x = 153,135.90

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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.