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Finding the Fourth Proportional to 177,046.16, 265,567.14 and 105,988.64

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Solution

The fourth proportional to 177,046.16, 265,567.14 and 105,988.64 is: 158,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,046.16 : 265,567.14 = 105,988.64 : x
  2. Step 2: Convert to fraction form
    177,046.16/265,567.14 = 105,988.64/x
  3. Step 3: Cross multiply
    177,046.16x = 265,567.14 × 105,988.64
  4. Step 4: Simplify right side
    177,046.16x = 28,147,098,669.45
  5. Step 5: Solve for x
    x = 28,147,098,669.45/177,046.16
  6. Step 6: Final answer
    x = 158,981.70

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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.