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Finding the Fourth Proportional to 153,838.60, 212,307.92 and 85,868.80

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Solution

The fourth proportional to 153,838.60, 212,307.92 and 85,868.80 is: 118,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,838.60 : 212,307.92 = 85,868.80 : x
  2. Step 2: Convert to fraction form
    153,838.60/212,307.92 = 85,868.80/x
  3. Step 3: Cross multiply
    153,838.60x = 212,307.92 × 85,868.80
  4. Step 4: Simplify right side
    153,838.60x = 18,230,626,320.90
  5. Step 5: Solve for x
    x = 18,230,626,320.90/153,838.60
  6. Step 6: Final answer
    x = 118,504.89

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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.