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Finding the Fourth Proportional to 185,203.53, 277,831.76 and 57,130.65

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Solution

The fourth proportional to 185,203.53, 277,831.76 and 57,130.65 is: 85,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,203.53 : 277,831.76 = 57,130.65 : x
  2. Step 2: Convert to fraction form
    185,203.53/277,831.76 = 57,130.65/x
  3. Step 3: Cross multiply
    185,203.53x = 277,831.76 × 57,130.65
  4. Step 4: Simplify right side
    185,203.53x = 15,872,708,753.79
  5. Step 5: Solve for x
    x = 15,872,708,753.79/185,203.53
  6. Step 6: Final answer
    x = 85,704.14

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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.