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Finding the Fourth Proportional to 160,972.60, 241,448.10 and 42,641.40

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Solution

The fourth proportional to 160,972.60, 241,448.10 and 42,641.40 is: 63,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972.60 : 241,448.10 = 42,641.40 : x
  2. Step 2: Convert to fraction form
    160,972.60/241,448.10 = 42,641.40/x
  3. Step 3: Cross multiply
    160,972.60x = 241,448.10 × 42,641.40
  4. Step 4: Simplify right side
    160,972.60x = 10,295,685,011.34
  5. Step 5: Solve for x
    x = 10,295,685,011.34/160,972.60
  6. Step 6: Final answer
    x = 63,959.24

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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.