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Finding the Fourth Proportional to 152,883.32, 210,981.76 and 83,972.32

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Solution

The fourth proportional to 152,883.32, 210,981.76 and 83,972.32 is: 115,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,883.32 : 210,981.76 = 83,972.32 : x
  2. Step 2: Convert to fraction form
    152,883.32/210,981.76 = 83,972.32/x
  3. Step 3: Cross multiply
    152,883.32x = 210,981.76 × 83,972.32
  4. Step 4: Simplify right side
    152,883.32x = 17,716,627,864.88
  5. Step 5: Solve for x
    x = 17,716,627,864.88/152,883.32
  6. Step 6: Final answer
    x = 115,883.33

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