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Finding the Fourth Proportional to 177,641.61, 266,567.46 and 65,400.72

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Solution

The fourth proportional to 177,641.61, 266,567.46 and 65,400.72 is: 98,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.61 : 266,567.46 = 65,400.72 : x
  2. Step 2: Convert to fraction form
    177,641.61/266,567.46 = 65,400.72/x
  3. Step 3: Cross multiply
    177,641.61x = 266,567.46 × 65,400.72
  4. Step 4: Simplify right side
    177,641.61x = 17,433,702,567.69
  5. Step 5: Solve for x
    x = 17,433,702,567.69/177,641.61
  6. Step 6: Final answer
    x = 98,139.75

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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.