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Finding the Fourth Proportional to 177,568.64, 245,052 and 102,117.14

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Solution

The fourth proportional to 177,568.64, 245,052 and 102,117.14 is: 140,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,568.64 : 245,052 = 102,117.14 : x
  2. Step 2: Convert to fraction form
    177,568.64/245,052 = 102,117.14/x
  3. Step 3: Cross multiply
    177,568.64x = 245,052 × 102,117.14
  4. Step 4: Simplify right side
    177,568.64x = 25,024,009,391.28
  5. Step 5: Solve for x
    x = 25,024,009,391.28/177,568.64
  6. Step 6: Final answer
    x = 140,925.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.