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Finding the Fourth Proportional to 107,482.14, 148,339.35 and 65,041.38

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Solution

The fourth proportional to 107,482.14, 148,339.35 and 65,041.38 is: 89,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,482.14 : 148,339.35 = 65,041.38 : x
  2. Step 2: Convert to fraction form
    107,482.14/148,339.35 = 65,041.38/x
  3. Step 3: Cross multiply
    107,482.14x = 148,339.35 × 65,041.38
  4. Step 4: Simplify right side
    107,482.14x = 9,648,196,032.30
  5. Step 5: Solve for x
    x = 9,648,196,032.30/107,482.14
  6. Step 6: Final answer
    x = 89,765.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.