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Finding the Fourth Proportional to 158,283.96, 237,424.02 and 47,475

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Solution

The fourth proportional to 158,283.96, 237,424.02 and 47,475 is: 71,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,283.96 : 237,424.02 = 47,475 : x
  2. Step 2: Convert to fraction form
    158,283.96/237,424.02 = 47,475/x
  3. Step 3: Cross multiply
    158,283.96x = 237,424.02 × 47,475
  4. Step 4: Simplify right side
    158,283.96x = 11,271,705,349.50
  5. Step 5: Solve for x
    x = 11,271,705,349.50/158,283.96
  6. Step 6: Final answer
    x = 71,211.92

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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.