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Finding the Fourth Proportional to 160,308, 240,465.24 and 49,500

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Solution

The fourth proportional to 160,308, 240,465.24 and 49,500 is: 74,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,308 : 240,465.24 = 49,500 : x
  2. Step 2: Convert to fraction form
    160,308/240,465.24 = 49,500/x
  3. Step 3: Cross multiply
    160,308x = 240,465.24 × 49,500
  4. Step 4: Simplify right side
    160,308x = 11,903,029,380
  5. Step 5: Solve for x
    x = 11,903,029,380/160,308
  6. Step 6: Final answer
    x = 74,251.00

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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.