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Finding the Fourth Proportional to 180,113.69, 270,130.72 and 52,002.14

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Solution

The fourth proportional to 180,113.69, 270,130.72 and 52,002.14 is: 77,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,113.69 : 270,130.72 = 52,002.14 : x
  2. Step 2: Convert to fraction form
    180,113.69/270,130.72 = 52,002.14/x
  3. Step 3: Cross multiply
    180,113.69x = 270,130.72 × 52,002.14
  4. Step 4: Simplify right side
    180,113.69x = 14,047,376,277.17
  5. Step 5: Solve for x
    x = 14,047,376,277.17/180,113.69
  6. Step 6: Final answer
    x = 77,991.72

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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.