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Finding the Fourth Proportional to 186,344.64, 257,152.32 and 101,460.24

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Solution

The fourth proportional to 186,344.64, 257,152.32 and 101,460.24 is: 140,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,344.64 : 257,152.32 = 101,460.24 : x
  2. Step 2: Convert to fraction form
    186,344.64/257,152.32 = 101,460.24/x
  3. Step 3: Cross multiply
    186,344.64x = 257,152.32 × 101,460.24
  4. Step 4: Simplify right side
    186,344.64x = 26,090,736,103.76
  5. Step 5: Solve for x
    x = 26,090,736,103.76/186,344.64
  6. Step 6: Final answer
    x = 140,013.34

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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.