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Finding the Fourth Proportional to 261,005.74, 391,510.91 and 103,234.17

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Solution

The fourth proportional to 261,005.74, 391,510.91 and 103,234.17 is: 154,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,005.74 : 391,510.91 = 103,234.17 : x
  2. Step 2: Convert to fraction form
    261,005.74/391,510.91 = 103,234.17/x
  3. Step 3: Cross multiply
    261,005.74x = 391,510.91 × 103,234.17
  4. Step 4: Simplify right side
    261,005.74x = 40,417,303,839.79
  5. Step 5: Solve for x
    x = 40,417,303,839.79/261,005.74
  6. Step 6: Final answer
    x = 154,852.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.