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Finding the Fourth Proportional to 97,159.29, 145,738.97 and 75,005.01

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Solution

The fourth proportional to 97,159.29, 145,738.97 and 75,005.01 is: 112,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,159.29 : 145,738.97 = 75,005.01 : x
  2. Step 2: Convert to fraction form
    97,159.29/145,738.97 = 75,005.01/x
  3. Step 3: Cross multiply
    97,159.29x = 145,738.97 × 75,005.01
  4. Step 4: Simplify right side
    97,159.29x = 10,931,152,527.21
  5. Step 5: Solve for x
    x = 10,931,152,527.21/97,159.29
  6. Step 6: Final answer
    x = 112,507.54

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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.