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Finding the Fourth Proportional to 292,098.02, 438,210.41 and 89,694.81

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Solution

The fourth proportional to 292,098.02, 438,210.41 and 89,694.81 is: 134,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,098.02 : 438,210.41 = 89,694.81 : x
  2. Step 2: Convert to fraction form
    292,098.02/438,210.41 = 89,694.81/x
  3. Step 3: Cross multiply
    292,098.02x = 438,210.41 × 89,694.81
  4. Step 4: Simplify right side
    292,098.02x = 39,305,199,016.50
  5. Step 5: Solve for x
    x = 39,305,199,016.50/292,098.02
  6. Step 6: Final answer
    x = 134,561.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.