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Finding the Fourth Proportional to 232,938.40, 349,407.60 and 166,237.60

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Solution

The fourth proportional to 232,938.40, 349,407.60 and 166,237.60 is: 249,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,938.40 : 349,407.60 = 166,237.60 : x
  2. Step 2: Convert to fraction form
    232,938.40/349,407.60 = 166,237.60/x
  3. Step 3: Cross multiply
    232,938.40x = 349,407.60 × 166,237.60
  4. Step 4: Simplify right side
    232,938.40x = 58,084,680,845.76
  5. Step 5: Solve for x
    x = 58,084,680,845.76/232,938.40
  6. Step 6: Final answer
    x = 249,356.40

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Why These Related Problems?

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