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Finding the Fourth Proportional to 137,435.40, 189,752.22 and 105,547.32

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Solution

The fourth proportional to 137,435.40, 189,752.22 and 105,547.32 is: 145,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.40 : 189,752.22 = 105,547.32 : x
  2. Step 2: Convert to fraction form
    137,435.40/189,752.22 = 105,547.32/x
  3. Step 3: Cross multiply
    137,435.40x = 189,752.22 × 105,547.32
  4. Step 4: Simplify right side
    137,435.40x = 20,027,838,285.05
  5. Step 5: Solve for x
    x = 20,027,838,285.05/137,435.40
  6. Step 6: Final answer
    x = 145,725.47

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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.