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Finding the Fourth Proportional to 98,187, 147,280.50 and 24,315

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Solution

The fourth proportional to 98,187, 147,280.50 and 24,315 is: 36,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187 : 147,280.50 = 24,315 : x
  2. Step 2: Convert to fraction form
    98,187/147,280.50 = 24,315/x
  3. Step 3: Cross multiply
    98,187x = 147,280.50 × 24,315
  4. Step 4: Simplify right side
    98,187x = 3,581,125,357.50
  5. Step 5: Solve for x
    x = 3,581,125,357.50/98,187
  6. Step 6: Final answer
    x = 36,472.50

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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.