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Finding the Fourth Proportional to 265,585.52, 398,088.35 and 130,742.39

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Solution

The fourth proportional to 265,585.52, 398,088.35 and 130,742.39 is: 195,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,585.52 : 398,088.35 = 130,742.39 : x
  2. Step 2: Convert to fraction form
    265,585.52/398,088.35 = 130,742.39/x
  3. Step 3: Cross multiply
    265,585.52x = 398,088.35 × 130,742.39
  4. Step 4: Simplify right side
    265,585.52x = 52,047,022,310.16
  5. Step 5: Solve for x
    x = 52,047,022,310.16/265,585.52
  6. Step 6: Final answer
    x = 195,970.86

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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.