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Finding the Fourth Proportional to 265,477.83, 398,275.02 and 195,143.91

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Solution

The fourth proportional to 265,477.83, 398,275.02 and 195,143.91 is: 292,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,477.83 : 398,275.02 = 195,143.91 : x
  2. Step 2: Convert to fraction form
    265,477.83/398,275.02 = 195,143.91/x
  3. Step 3: Cross multiply
    265,477.83x = 398,275.02 × 195,143.91
  4. Step 4: Simplify right side
    265,477.83x = 77,720,944,658.13
  5. Step 5: Solve for x
    x = 77,720,944,658.13/265,477.83
  6. Step 6: Final answer
    x = 292,758.70

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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.