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Finding the Fourth Proportional to 98,071.60, 147,108.84 and 24,199.60

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Solution

The fourth proportional to 98,071.60, 147,108.84 and 24,199.60 is: 36,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,071.60 : 147,108.84 = 24,199.60 : x
  2. Step 2: Convert to fraction form
    98,071.60/147,108.84 = 24,199.60/x
  3. Step 3: Cross multiply
    98,071.60x = 147,108.84 × 24,199.60
  4. Step 4: Simplify right side
    98,071.60x = 3,559,975,084.46
  5. Step 5: Solve for x
    x = 3,559,975,084.46/98,071.60
  6. Step 6: Final answer
    x = 36,299.76

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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.