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Finding the Fourth Proportional to 176,151.48, 264,254.76 and 57,795.90

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Solution

The fourth proportional to 176,151.48, 264,254.76 and 57,795.90 is: 86,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,151.48 : 264,254.76 = 57,795.90 : x
  2. Step 2: Convert to fraction form
    176,151.48/264,254.76 = 57,795.90/x
  3. Step 3: Cross multiply
    176,151.48x = 264,254.76 × 57,795.90
  4. Step 4: Simplify right side
    176,151.48x = 15,272,841,683.48
  5. Step 5: Solve for x
    x = 15,272,841,683.48/176,151.48
  6. Step 6: Final answer
    x = 86,702.89

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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.