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Finding the Fourth Proportional to 261,345.96, 360,686.52 and 146,643.48

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Solution

The fourth proportional to 261,345.96, 360,686.52 and 146,643.48 is: 202,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,345.96 : 360,686.52 = 146,643.48 : x
  2. Step 2: Convert to fraction form
    261,345.96/360,686.52 = 146,643.48/x
  3. Step 3: Cross multiply
    261,345.96x = 360,686.52 × 146,643.48
  4. Step 4: Simplify right side
    261,345.96x = 52,892,326,481.89
  5. Step 5: Solve for x
    x = 52,892,326,481.89/261,345.96
  6. Step 6: Final answer
    x = 202,384.33

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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.