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Finding the Fourth Proportional to 137,038.22, 205,579.49 and 42,246.22

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Solution

The fourth proportional to 137,038.22, 205,579.49 and 42,246.22 is: 63,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.22 : 205,579.49 = 42,246.22 : x
  2. Step 2: Convert to fraction form
    137,038.22/205,579.49 = 42,246.22/x
  3. Step 3: Cross multiply
    137,038.22x = 205,579.49 × 42,246.22
  4. Step 4: Simplify right side
    137,038.22x = 8,684,956,362.03
  5. Step 5: Solve for x
    x = 8,684,956,362.03/137,038.22
  6. Step 6: Final answer
    x = 63,376.16

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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.