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Finding the Fourth Proportional to 212,233.50, 292,810.75 and 144,132.35

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Solution

The fourth proportional to 212,233.50, 292,810.75 and 144,132.35 is: 198,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,233.50 : 292,810.75 = 144,132.35 : x
  2. Step 2: Convert to fraction form
    212,233.50/292,810.75 = 144,132.35/x
  3. Step 3: Cross multiply
    212,233.50x = 292,810.75 × 144,132.35
  4. Step 4: Simplify right side
    212,233.50x = 42,203,499,678.38
  5. Step 5: Solve for x
    x = 42,203,499,678.38/212,233.50
  6. Step 6: Final answer
    x = 198,854.09

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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.