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Finding the Fourth Proportional to 97,502.68, 146,300.42 and 67,563.08

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Solution

The fourth proportional to 97,502.68, 146,300.42 and 67,563.08 is: 101,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502.68 : 146,300.42 = 67,563.08 : x
  2. Step 2: Convert to fraction form
    97,502.68/146,300.42 = 67,563.08/x
  3. Step 3: Cross multiply
    97,502.68x = 146,300.42 × 67,563.08
  4. Step 4: Simplify right side
    97,502.68x = 9,884,506,980.49
  5. Step 5: Solve for x
    x = 9,884,506,980.49/97,502.68
  6. Step 6: Final answer
    x = 101,376.77

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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.