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Finding the Fourth Proportional to 265,854.52, 366,869.10 and 146,622.52

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Solution

The fourth proportional to 265,854.52, 366,869.10 and 146,622.52 is: 202,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,854.52 : 366,869.10 = 146,622.52 : x
  2. Step 2: Convert to fraction form
    265,854.52/366,869.10 = 146,622.52/x
  3. Step 3: Cross multiply
    265,854.52x = 366,869.10 × 146,622.52
  4. Step 4: Simplify right side
    265,854.52x = 53,791,271,952.13
  5. Step 5: Solve for x
    x = 53,791,271,952.13/265,854.52
  6. Step 6: Final answer
    x = 202,333.49

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Why These Related Problems?

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