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Finding the Fourth Proportional to 177,098.16, 265,678.80 and 58,776.48

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Solution

The fourth proportional to 177,098.16, 265,678.80 and 58,776.48 is: 88,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,098.16 : 265,678.80 = 58,776.48 : x
  2. Step 2: Convert to fraction form
    177,098.16/265,678.80 = 58,776.48/x
  3. Step 3: Cross multiply
    177,098.16x = 265,678.80 × 58,776.48
  4. Step 4: Simplify right side
    177,098.16x = 15,615,664,674.62
  5. Step 5: Solve for x
    x = 15,615,664,674.62/177,098.16
  6. Step 6: Final answer
    x = 88,175.19

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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.