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Finding the Fourth Proportional to 152,615.10, 228,922.65 and 100,055.10

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Solution

The fourth proportional to 152,615.10, 228,922.65 and 100,055.10 is: 150,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,615.10 : 228,922.65 = 100,055.10 : x
  2. Step 2: Convert to fraction form
    152,615.10/228,922.65 = 100,055.10/x
  3. Step 3: Cross multiply
    152,615.10x = 228,922.65 × 100,055.10
  4. Step 4: Simplify right side
    152,615.10x = 22,904,878,638.02
  5. Step 5: Solve for x
    x = 22,904,878,638.02/152,615.10
  6. Step 6: Final answer
    x = 150,082.65

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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.