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Finding the Fourth Proportional to 97,485.40, 146,228.10 and 42,081.40

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Solution

The fourth proportional to 97,485.40, 146,228.10 and 42,081.40 is: 63,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,485.40 : 146,228.10 = 42,081.40 : x
  2. Step 2: Convert to fraction form
    97,485.40/146,228.10 = 42,081.40/x
  3. Step 3: Cross multiply
    97,485.40x = 146,228.10 × 42,081.40
  4. Step 4: Simplify right side
    97,485.40x = 6,153,483,167.34
  5. Step 5: Solve for x
    x = 6,153,483,167.34/97,485.40
  6. Step 6: Final answer
    x = 63,122.10

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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.