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Finding the Fourth Proportional to 152,422.94, 210,323.71 and 87,894.56

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Solution

The fourth proportional to 152,422.94, 210,323.71 and 87,894.56 is: 121,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,422.94 : 210,323.71 = 87,894.56 : x
  2. Step 2: Convert to fraction form
    152,422.94/210,323.71 = 87,894.56/x
  3. Step 3: Cross multiply
    152,422.94x = 210,323.71 × 87,894.56
  4. Step 4: Simplify right side
    152,422.94x = 18,486,309,948.02
  5. Step 5: Solve for x
    x = 18,486,309,948.02/152,422.94
  6. Step 6: Final answer
    x = 121,282.99

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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.