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Finding the Fourth Proportional to 176,972.60, 265,070.10 and 153,644.60

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Solution

The fourth proportional to 176,972.60, 265,070.10 and 153,644.60 is: 230,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,972.60 : 265,070.10 = 153,644.60 : x
  2. Step 2: Convert to fraction form
    176,972.60/265,070.10 = 153,644.60/x
  3. Step 3: Cross multiply
    176,972.60x = 265,070.10 × 153,644.60
  4. Step 4: Simplify right side
    176,972.60x = 40,726,589,486.46
  5. Step 5: Solve for x
    x = 40,726,589,486.46/176,972.60
  6. Step 6: Final answer
    x = 230,129.35

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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.