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Finding the Fourth Proportional to 152,340.83, 210,227.76 and 84,356.35

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Solution

The fourth proportional to 152,340.83, 210,227.76 and 84,356.35 is: 116,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,340.83 : 210,227.76 = 84,356.35 : x
  2. Step 2: Convert to fraction form
    152,340.83/210,227.76 = 84,356.35/x
  3. Step 3: Cross multiply
    152,340.83x = 210,227.76 × 84,356.35
  4. Step 4: Simplify right side
    152,340.83x = 17,734,046,293.04
  5. Step 5: Solve for x
    x = 17,734,046,293.04/152,340.83
  6. Step 6: Final answer
    x = 116,410.33

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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.