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Finding the Fourth Proportional to 228,045.80, 342,263.10 and 101,880.20

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Solution

The fourth proportional to 228,045.80, 342,263.10 and 101,880.20 is: 152,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.80 : 342,263.10 = 101,880.20 : x
  2. Step 2: Convert to fraction form
    228,045.80/342,263.10 = 101,880.20/x
  3. Step 3: Cross multiply
    228,045.80x = 342,263.10 × 101,880.20
  4. Step 4: Simplify right side
    228,045.80x = 34,869,833,080.62
  5. Step 5: Solve for x
    x = 34,869,833,080.62/228,045.80
  6. Step 6: Final answer
    x = 152,907.15

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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.