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Finding the Fourth Proportional to 177,748, 266,624.88 and 51,389.92

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Solution

The fourth proportional to 177,748, 266,624.88 and 51,389.92 is: 77,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748 : 266,624.88 = 51,389.92 : x
  2. Step 2: Convert to fraction form
    177,748/266,624.88 = 51,389.92/x
  3. Step 3: Cross multiply
    177,748x = 266,624.88 × 51,389.92
  4. Step 4: Simplify right side
    177,748x = 13,701,831,253.21
  5. Step 5: Solve for x
    x = 13,701,831,253.21/177,748
  6. Step 6: Final answer
    x = 77,085.71

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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.