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Finding the Fourth Proportional to 160,410, 240,615 and 49,602

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Solution

The fourth proportional to 160,410, 240,615 and 49,602 is: 74,403

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,410 : 240,615 = 49,602 : x
  2. Step 2: Convert to fraction form
    160,410/240,615 = 49,602/x
  3. Step 3: Cross multiply
    160,410x = 240,615 × 49,602
  4. Step 4: Simplify right side
    160,410x = 11,934,985,230
  5. Step 5: Solve for x
    x = 11,934,985,230/160,410
  6. Step 6: Final answer
    x = 74,403

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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.