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Finding the Fourth Proportional to 140,841.15, 211,114.10 and 52,038.01

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Solution

The fourth proportional to 140,841.15, 211,114.10 and 52,038.01 is: 78,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,841.15 : 211,114.10 = 52,038.01 : x
  2. Step 2: Convert to fraction form
    140,841.15/211,114.10 = 52,038.01/x
  3. Step 3: Cross multiply
    140,841.15x = 211,114.10 × 52,038.01
  4. Step 4: Simplify right side
    140,841.15x = 10,985,957,386.75
  5. Step 5: Solve for x
    x = 10,985,957,386.75/140,841.15
  6. Step 6: Final answer
    x = 78,002.47

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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.