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Finding the Fourth Proportional to 261,102.96, 360,342 and 146,392.11

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Solution

The fourth proportional to 261,102.96, 360,342 and 146,392.11 is: 202,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,102.96 : 360,342 = 146,392.11 : x
  2. Step 2: Convert to fraction form
    261,102.96/360,342 = 146,392.11/x
  3. Step 3: Cross multiply
    261,102.96x = 360,342 × 146,392.11
  4. Step 4: Simplify right side
    261,102.96x = 52,751,225,701.62
  5. Step 5: Solve for x
    x = 52,751,225,701.62/261,102.96
  6. Step 6: Final answer
    x = 202,032.28

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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.