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Finding the Fourth Proportional to 157,981.77, 218,015.28 and 94,318.20

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Solution

The fourth proportional to 157,981.77, 218,015.28 and 94,318.20 is: 130,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,981.77 : 218,015.28 = 94,318.20 : x
  2. Step 2: Convert to fraction form
    157,981.77/218,015.28 = 94,318.20/x
  3. Step 3: Cross multiply
    157,981.77x = 218,015.28 × 94,318.20
  4. Step 4: Simplify right side
    157,981.77x = 20,562,808,782.10
  5. Step 5: Solve for x
    x = 20,562,808,782.10/157,981.77
  6. Step 6: Final answer
    x = 130,159.38

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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.