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Finding the Fourth Proportional to 228,043.60, 342,065.40 and 144,062.80

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Solution

The fourth proportional to 228,043.60, 342,065.40 and 144,062.80 is: 216,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,043.60 : 342,065.40 = 144,062.80 : x
  2. Step 2: Convert to fraction form
    228,043.60/342,065.40 = 144,062.80/x
  3. Step 3: Cross multiply
    228,043.60x = 342,065.40 × 144,062.80
  4. Step 4: Simplify right side
    228,043.60x = 49,278,899,307.12
  5. Step 5: Solve for x
    x = 49,278,899,307.12/228,043.60
  6. Step 6: Final answer
    x = 216,094.20

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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.