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Finding the Fourth Proportional to 228,205.80, 342,308.70 and 175,061.70

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Solution

The fourth proportional to 228,205.80, 342,308.70 and 175,061.70 is: 262,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,205.80 : 342,308.70 = 175,061.70 : x
  2. Step 2: Convert to fraction form
    228,205.80/342,308.70 = 175,061.70/x
  3. Step 3: Cross multiply
    228,205.80x = 342,308.70 × 175,061.70
  4. Step 4: Simplify right side
    228,205.80x = 59,925,142,946.79
  5. Step 5: Solve for x
    x = 59,925,142,946.79/228,205.80
  6. Step 6: Final answer
    x = 262,592.55

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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.