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Finding the Fourth Proportional to 141,816.47, 212,728.46 and 47,053.42

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Solution

The fourth proportional to 141,816.47, 212,728.46 and 47,053.42 is: 70,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,816.47 : 212,728.46 = 47,053.42 : x
  2. Step 2: Convert to fraction form
    141,816.47/212,728.46 = 47,053.42/x
  3. Step 3: Cross multiply
    141,816.47x = 212,728.46 × 47,053.42
  4. Step 4: Simplify right side
    141,816.47x = 10,009,601,569.58
  5. Step 5: Solve for x
    x = 10,009,601,569.58/141,816.47
  6. Step 6: Final answer
    x = 70,581.38

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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.