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Finding the Fourth Proportional to 177,254.64, 265,699.56 and 77,396.16

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Solution

The fourth proportional to 177,254.64, 265,699.56 and 77,396.16 is: 116,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,254.64 : 265,699.56 = 77,396.16 : x
  2. Step 2: Convert to fraction form
    177,254.64/265,699.56 = 77,396.16/x
  3. Step 3: Cross multiply
    177,254.64x = 265,699.56 × 77,396.16
  4. Step 4: Simplify right side
    177,254.64x = 20,564,125,657.69
  5. Step 5: Solve for x
    x = 20,564,125,657.69/177,254.64
  6. Step 6: Final answer
    x = 116,014.60

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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.