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Finding the Fourth Proportional to 261,314.19, 391,706.59 and 177,082.87

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Solution

The fourth proportional to 261,314.19, 391,706.59 and 177,082.87 is: 265,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,314.19 : 391,706.59 = 177,082.87 : x
  2. Step 2: Convert to fraction form
    261,314.19/391,706.59 = 177,082.87/x
  3. Step 3: Cross multiply
    261,314.19x = 391,706.59 × 177,082.87
  4. Step 4: Simplify right side
    261,314.19x = 69,364,527,155.11
  5. Step 5: Solve for x
    x = 69,364,527,155.11/261,314.19
  6. Step 6: Final answer
    x = 265,444.93

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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.