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Finding the Fourth Proportional to 177,153.60, 265,730.40 and 83,841.60

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Solution

The fourth proportional to 177,153.60, 265,730.40 and 83,841.60 is: 125,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,153.60 : 265,730.40 = 83,841.60 : x
  2. Step 2: Convert to fraction form
    177,153.60/265,730.40 = 83,841.60/x
  3. Step 3: Cross multiply
    177,153.60x = 265,730.40 × 83,841.60
  4. Step 4: Simplify right side
    177,153.60x = 22,279,261,904.64
  5. Step 5: Solve for x
    x = 22,279,261,904.64/177,153.60
  6. Step 6: Final answer
    x = 125,762.40

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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.