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Finding the Fourth Proportional to 177,552.12, 266,319.12 and 65,223.72

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Solution

The fourth proportional to 177,552.12, 266,319.12 and 65,223.72 is: 97,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,552.12 : 266,319.12 = 65,223.72 : x
  2. Step 2: Convert to fraction form
    177,552.12/266,319.12 = 65,223.72/x
  3. Step 3: Cross multiply
    177,552.12x = 266,319.12 × 65,223.72
  4. Step 4: Simplify right side
    177,552.12x = 17,370,323,713.53
  5. Step 5: Solve for x
    x = 17,370,323,713.53/177,552.12
  6. Step 6: Final answer
    x = 97,832.25

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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.