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Finding the Fourth Proportional to 145,364.34, 200,545.83 and 107,215.46

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Solution

The fourth proportional to 145,364.34, 200,545.83 and 107,215.46 is: 147,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364.34 : 200,545.83 = 107,215.46 : x
  2. Step 2: Convert to fraction form
    145,364.34/200,545.83 = 107,215.46/x
  3. Step 3: Cross multiply
    145,364.34x = 200,545.83 × 107,215.46
  4. Step 4: Simplify right side
    145,364.34x = 21,501,613,414.53
  5. Step 5: Solve for x
    x = 21,501,613,414.53/145,364.34
  6. Step 6: Final answer
    x = 147,915.32

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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.