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Finding the Fourth Proportional to 180,583.95, 249,247.32 and 120,157.14

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Solution

The fourth proportional to 180,583.95, 249,247.32 and 120,157.14 is: 165,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,583.95 : 249,247.32 = 120,157.14 : x
  2. Step 2: Convert to fraction form
    180,583.95/249,247.32 = 120,157.14/x
  3. Step 3: Cross multiply
    180,583.95x = 249,247.32 × 120,157.14
  4. Step 4: Simplify right side
    180,583.95x = 29,948,845,123.86
  5. Step 5: Solve for x
    x = 29,948,845,123.86/180,583.95
  6. Step 6: Final answer
    x = 165,844.45

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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.