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Finding the Fourth Proportional to 201,831.07, 302,574.80 and 89,450.02

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Solution

The fourth proportional to 201,831.07, 302,574.80 and 89,450.02 is: 134,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831.07 : 302,574.80 = 89,450.02 : x
  2. Step 2: Convert to fraction form
    201,831.07/302,574.80 = 89,450.02/x
  3. Step 3: Cross multiply
    201,831.07x = 302,574.80 × 89,450.02
  4. Step 4: Simplify right side
    201,831.07x = 27,065,321,911.50
  5. Step 5: Solve for x
    x = 27,065,321,911.50/201,831.07
  6. Step 6: Final answer
    x = 134,098.89

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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.