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Finding the Fourth Proportional to 97,298.65, 145,904.12 and 41,109.84

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Solution

The fourth proportional to 97,298.65, 145,904.12 and 41,109.84 is: 61,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,298.65 : 145,904.12 = 41,109.84 : x
  2. Step 2: Convert to fraction form
    97,298.65/145,904.12 = 41,109.84/x
  3. Step 3: Cross multiply
    97,298.65x = 145,904.12 × 41,109.84
  4. Step 4: Simplify right side
    97,298.65x = 5,998,094,299.02
  5. Step 5: Solve for x
    x = 5,998,094,299.02/97,298.65
  6. Step 6: Final answer
    x = 61,646.22

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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.