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Finding the Fourth Proportional to 146,033, 201,547.42 and 89,477.18

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Solution

The fourth proportional to 146,033, 201,547.42 and 89,477.18 is: 123,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,033 : 201,547.42 = 89,477.18 : x
  2. Step 2: Convert to fraction form
    146,033/201,547.42 = 89,477.18/x
  3. Step 3: Cross multiply
    146,033x = 201,547.42 × 89,477.18
  4. Step 4: Simplify right side
    146,033x = 18,033,894,777.88
  5. Step 5: Solve for x
    x = 18,033,894,777.88/146,033
  6. Step 6: Final answer
    x = 123,491.91

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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.