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Finding the Fourth Proportional to 153,831.71, 230,771.96 and 65,085.88

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Solution

The fourth proportional to 153,831.71, 230,771.96 and 65,085.88 is: 97,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,831.71 : 230,771.96 = 65,085.88 : x
  2. Step 2: Convert to fraction form
    153,831.71/230,771.96 = 65,085.88/x
  3. Step 3: Cross multiply
    153,831.71x = 230,771.96 × 65,085.88
  4. Step 4: Simplify right side
    153,831.71x = 15,019,996,095.92
  5. Step 5: Solve for x
    x = 15,019,996,095.92/153,831.71
  6. Step 6: Final answer
    x = 97,639.14

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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.