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Finding the Fourth Proportional to 177,411.48, 266,200.25 and 77,558.73

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Solution

The fourth proportional to 177,411.48, 266,200.25 and 77,558.73 is: 116,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,411.48 : 266,200.25 = 77,558.73 : x
  2. Step 2: Convert to fraction form
    177,411.48/266,200.25 = 77,558.73/x
  3. Step 3: Cross multiply
    177,411.48x = 266,200.25 × 77,558.73
  4. Step 4: Simplify right side
    177,411.48x = 20,646,152,927.89
  5. Step 5: Solve for x
    x = 20,646,152,927.89/177,411.48
  6. Step 6: Final answer
    x = 116,374.39

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1.5x scale

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.