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Finding the Fourth Proportional to 164,878.50, 247,151.58 and 65,000.04

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Solution

The fourth proportional to 164,878.50, 247,151.58 and 65,000.04 is: 97,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,878.50 : 247,151.58 = 65,000.04 : x
  2. Step 2: Convert to fraction form
    164,878.50/247,151.58 = 65,000.04/x
  3. Step 3: Cross multiply
    164,878.50x = 247,151.58 × 65,000.04
  4. Step 4: Simplify right side
    164,878.50x = 16,064,862,586.06
  5. Step 5: Solve for x
    x = 16,064,862,586.06/164,878.50
  6. Step 6: Final answer
    x = 97,434.55

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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.