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Finding the Fourth Proportional to 177,097.76, 265,685.56 and 52,448.48

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Solution

The fourth proportional to 177,097.76, 265,685.56 and 52,448.48 is: 78,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,097.76 : 265,685.56 = 52,448.48 : x
  2. Step 2: Convert to fraction form
    177,097.76/265,685.56 = 52,448.48/x
  3. Step 3: Cross multiply
    177,097.76x = 265,685.56 × 52,448.48
  4. Step 4: Simplify right side
    177,097.76x = 13,934,803,779.95
  5. Step 5: Solve for x
    x = 13,934,803,779.95/177,097.76
  6. Step 6: Final answer
    x = 78,684.25

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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.