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Finding the Fourth Proportional to 177,703.65, 266,516.12 and 51,316.38

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Solution

The fourth proportional to 177,703.65, 266,516.12 and 51,316.38 is: 76,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,703.65 : 266,516.12 = 51,316.38 : x
  2. Step 2: Convert to fraction form
    177,703.65/266,516.12 = 51,316.38/x
  3. Step 3: Cross multiply
    177,703.65x = 266,516.12 × 51,316.38
  4. Step 4: Simplify right side
    177,703.65x = 13,676,642,618.34
  5. Step 5: Solve for x
    x = 13,676,642,618.34/177,703.65
  6. Step 6: Final answer
    x = 76,963.21

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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.