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Finding the Fourth Proportional to 97,568.62, 146,281.75 and 65,900.05

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Solution

The fourth proportional to 97,568.62, 146,281.75 and 65,900.05 is: 98,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,568.62 : 146,281.75 = 65,900.05 : x
  2. Step 2: Convert to fraction form
    97,568.62/146,281.75 = 65,900.05/x
  3. Step 3: Cross multiply
    97,568.62x = 146,281.75 × 65,900.05
  4. Step 4: Simplify right side
    97,568.62x = 9,639,974,108.63
  5. Step 5: Solve for x
    x = 9,639,974,108.63/97,568.62
  6. Step 6: Final answer
    x = 98,802.00

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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.