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Finding the Fourth Proportional to 212,111.60, 292,706.54 and 116,617.57

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Solution

The fourth proportional to 212,111.60, 292,706.54 and 116,617.57 is: 160,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,111.60 : 292,706.54 = 116,617.57 : x
  2. Step 2: Convert to fraction form
    212,111.60/292,706.54 = 116,617.57/x
  3. Step 3: Cross multiply
    212,111.60x = 292,706.54 × 116,617.57
  4. Step 4: Simplify right side
    212,111.60x = 34,134,724,103.05
  5. Step 5: Solve for x
    x = 34,134,724,103.05/212,111.60
  6. Step 6: Final answer
    x = 160,928.13

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1.5x scale

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.