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Finding the Fourth Proportional to 201,497.16, 302,351.58 and 89,254.92

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Solution

The fourth proportional to 201,497.16, 302,351.58 and 89,254.92 is: 133,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.16 : 302,351.58 = 89,254.92 : x
  2. Step 2: Convert to fraction form
    201,497.16/302,351.58 = 89,254.92/x
  3. Step 3: Cross multiply
    201,497.16x = 302,351.58 × 89,254.92
  4. Step 4: Simplify right side
    201,497.16x = 26,986,366,084.77
  5. Step 5: Solve for x
    x = 26,986,366,084.77/201,497.16
  6. Step 6: Final answer
    x = 133,929.26

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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.