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Finding the Fourth Proportional to 180,945.60, 249,750.72 and 116,458.56

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Solution

The fourth proportional to 180,945.60, 249,750.72 and 116,458.56 is: 160,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,945.60 : 249,750.72 = 116,458.56 : x
  2. Step 2: Convert to fraction form
    180,945.60/249,750.72 = 116,458.56/x
  3. Step 3: Cross multiply
    180,945.60x = 249,750.72 × 116,458.56
  4. Step 4: Simplify right side
    180,945.60x = 29,085,609,210.16
  5. Step 5: Solve for x
    x = 29,085,609,210.16/180,945.60
  6. Step 6: Final answer
    x = 160,742.29

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Why These Related Problems?

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