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Finding the Fourth Proportional to 152,138.86, 209,947.61 and 84,154.14

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Solution

The fourth proportional to 152,138.86, 209,947.61 and 84,154.14 is: 116,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,138.86 : 209,947.61 = 84,154.14 : x
  2. Step 2: Convert to fraction form
    152,138.86/209,947.61 = 84,154.14/x
  3. Step 3: Cross multiply
    152,138.86x = 209,947.61 × 84,154.14
  4. Step 4: Simplify right side
    152,138.86x = 17,667,960,774.99
  5. Step 5: Solve for x
    x = 17,667,960,774.99/152,138.86
  6. Step 6: Final answer
    x = 116,130.49

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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.