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Finding the Fourth Proportional to 212,125.57, 292,734.35 and 116,638.40

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Solution

The fourth proportional to 212,125.57, 292,734.35 and 116,638.40 is: 160,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,125.57 : 292,734.35 = 116,638.40 : x
  2. Step 2: Convert to fraction form
    212,125.57/292,734.35 = 116,638.40/x
  3. Step 3: Cross multiply
    212,125.57x = 292,734.35 × 116,638.40
  4. Step 4: Simplify right side
    212,125.57x = 34,144,066,209.04
  5. Step 5: Solve for x
    x = 34,144,066,209.04/212,125.57
  6. Step 6: Final answer
    x = 160,961.58

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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.