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Finding the Fourth Proportional to 97,309.54, 145,767.48 and 75,045.88

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Solution

The fourth proportional to 97,309.54, 145,767.48 and 75,045.88 is: 112,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,309.54 : 145,767.48 = 75,045.88 : x
  2. Step 2: Convert to fraction form
    97,309.54/145,767.48 = 75,045.88/x
  3. Step 3: Cross multiply
    97,309.54x = 145,767.48 × 75,045.88
  4. Step 4: Simplify right side
    97,309.54x = 10,939,248,811.98
  5. Step 5: Solve for x
    x = 10,939,248,811.98/97,309.54
  6. Step 6: Final answer
    x = 112,417.02

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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.