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Finding the Fourth Proportional to 119,187.28, 164,482.14 and 65,471.32

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Solution

The fourth proportional to 119,187.28, 164,482.14 and 65,471.32 is: 90,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,187.28 : 164,482.14 = 65,471.32 : x
  2. Step 2: Convert to fraction form
    119,187.28/164,482.14 = 65,471.32/x
  3. Step 3: Cross multiply
    119,187.28x = 164,482.14 × 65,471.32
  4. Step 4: Simplify right side
    119,187.28x = 10,768,862,822.22
  5. Step 5: Solve for x
    x = 10,768,862,822.22/119,187.28
  6. Step 6: Final answer
    x = 90,352.45

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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.