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Finding the Fourth Proportional to 110,356.99, 152,282.10 and 61,947.84

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Solution

The fourth proportional to 110,356.99, 152,282.10 and 61,947.84 is: 85,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.99 : 152,282.10 = 61,947.84 : x
  2. Step 2: Convert to fraction form
    110,356.99/152,282.10 = 61,947.84/x
  3. Step 3: Cross multiply
    110,356.99x = 152,282.10 × 61,947.84
  4. Step 4: Simplify right side
    110,356.99x = 9,433,547,165.66
  5. Step 5: Solve for x
    x = 9,433,547,165.66/110,356.99
  6. Step 6: Final answer
    x = 85,482.10

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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.