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Finding the Fourth Proportional to 97,302.40, 145,838.40 and 41,142.40

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Solution

The fourth proportional to 97,302.40, 145,838.40 and 41,142.40 is: 61,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,302.40 : 145,838.40 = 41,142.40 : x
  2. Step 2: Convert to fraction form
    97,302.40/145,838.40 = 41,142.40/x
  3. Step 3: Cross multiply
    97,302.40x = 145,838.40 × 41,142.40
  4. Step 4: Simplify right side
    97,302.40x = 6,000,141,788.16
  5. Step 5: Solve for x
    x = 6,000,141,788.16/97,302.40
  6. Step 6: Final answer
    x = 61,664.89

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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.