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Finding the Fourth Proportional to 113,886.10, 170,829.15 and 107,434.90

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Solution

The fourth proportional to 113,886.10, 170,829.15 and 107,434.90 is: 161,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886.10 : 170,829.15 = 107,434.90 : x
  2. Step 2: Convert to fraction form
    113,886.10/170,829.15 = 107,434.90/x
  3. Step 3: Cross multiply
    113,886.10x = 170,829.15 × 107,434.90
  4. Step 4: Simplify right side
    113,886.10x = 18,353,012,647.34
  5. Step 5: Solve for x
    x = 18,353,012,647.34/113,886.10
  6. Step 6: Final answer
    x = 161,152.35

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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.