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Finding the Fourth Proportional to 101,492.49, 152,197.11 and 30,390.08

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Solution

The fourth proportional to 101,492.49, 152,197.11 and 30,390.08 is: 45,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,492.49 : 152,197.11 = 30,390.08 : x
  2. Step 2: Convert to fraction form
    101,492.49/152,197.11 = 30,390.08/x
  3. Step 3: Cross multiply
    101,492.49x = 152,197.11 × 30,390.08
  4. Step 4: Simplify right side
    101,492.49x = 4,625,281,587.68
  5. Step 5: Solve for x
    x = 4,625,281,587.68/101,492.49
  6. Step 6: Final answer
    x = 45,572.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.