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Finding the Fourth Proportional to 177,284.60, 265,538.10 and 153,956.60

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Solution

The fourth proportional to 177,284.60, 265,538.10 and 153,956.60 is: 230,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284.60 : 265,538.10 = 153,956.60 : x
  2. Step 2: Convert to fraction form
    177,284.60/265,538.10 = 153,956.60/x
  3. Step 3: Cross multiply
    177,284.60x = 265,538.10 × 153,956.60
  4. Step 4: Simplify right side
    177,284.60x = 40,881,343,046.46
  5. Step 5: Solve for x
    x = 40,881,343,046.46/177,284.60
  6. Step 6: Final answer
    x = 230,597.26

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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.