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Finding the Fourth Proportional to 308,002.60, 461,960.70 and 97,661.80

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Solution

The fourth proportional to 308,002.60, 461,960.70 and 97,661.80 is: 146,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,002.60 : 461,960.70 = 97,661.80 : x
  2. Step 2: Convert to fraction form
    308,002.60/461,960.70 = 97,661.80/x
  3. Step 3: Cross multiply
    308,002.60x = 461,960.70 × 97,661.80
  4. Step 4: Simplify right side
    308,002.60x = 45,115,913,491.26
  5. Step 5: Solve for x
    x = 45,115,913,491.26/308,002.60
  6. Step 6: Final answer
    x = 146,479.00

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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.