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Finding the Fourth Proportional to 98,102.50, 147,155.15 and 27,981.84

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Solution

The fourth proportional to 98,102.50, 147,155.15 and 27,981.84 is: 41,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,102.50 : 147,155.15 = 27,981.84 : x
  2. Step 2: Convert to fraction form
    98,102.50/147,155.15 = 27,981.84/x
  3. Step 3: Cross multiply
    98,102.50x = 147,155.15 × 27,981.84
  4. Step 4: Simplify right side
    98,102.50x = 4,117,671,862.48
  5. Step 5: Solve for x
    x = 4,117,671,862.48/98,102.50
  6. Step 6: Final answer
    x = 41,973.16

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1.5x scale

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.