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Finding the Fourth Proportional to 150,812.16, 207,980.80 and 97,002.24

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Solution

The fourth proportional to 150,812.16, 207,980.80 and 97,002.24 is: 133,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812.16 : 207,980.80 = 97,002.24 : x
  2. Step 2: Convert to fraction form
    150,812.16/207,980.80 = 97,002.24/x
  3. Step 3: Cross multiply
    150,812.16x = 207,980.80 × 97,002.24
  4. Step 4: Simplify right side
    150,812.16x = 20,174,603,476.99
  5. Step 5: Solve for x
    x = 20,174,603,476.99/150,812.16
  6. Step 6: Final answer
    x = 133,773.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.