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Finding the Fourth Proportional to 180,577.94, 249,239.03 and 120,151.13

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Solution

The fourth proportional to 180,577.94, 249,239.03 and 120,151.13 is: 165,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,577.94 : 249,239.03 = 120,151.13 : x
  2. Step 2: Convert to fraction form
    180,577.94/249,239.03 = 120,151.13/x
  3. Step 3: Cross multiply
    180,577.94x = 249,239.03 × 120,151.13
  4. Step 4: Simplify right side
    180,577.94x = 29,946,349,247.65
  5. Step 5: Solve for x
    x = 29,946,349,247.65/180,577.94
  6. Step 6: Final answer
    x = 165,836.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.