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Finding the Fourth Proportional to 147,781.59, 221,703.53 and 47,934.01

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Solution

The fourth proportional to 147,781.59, 221,703.53 and 47,934.01 is: 71,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,781.59 : 221,703.53 = 47,934.01 : x
  2. Step 2: Convert to fraction form
    147,781.59/221,703.53 = 47,934.01/x
  3. Step 3: Cross multiply
    147,781.59x = 221,703.53 × 47,934.01
  4. Step 4: Simplify right side
    147,781.59x = 10,627,139,224.06
  5. Step 5: Solve for x
    x = 10,627,139,224.06/147,781.59
  6. Step 6: Final answer
    x = 71,911.12

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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.