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Finding the Fourth Proportional to 185,233.80, 277,461.90 and 102,030.60

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Solution

The fourth proportional to 185,233.80, 277,461.90 and 102,030.60 is: 152,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,233.80 : 277,461.90 = 102,030.60 : x
  2. Step 2: Convert to fraction form
    185,233.80/277,461.90 = 102,030.60/x
  3. Step 3: Cross multiply
    185,233.80x = 277,461.90 × 102,030.60
  4. Step 4: Simplify right side
    185,233.80x = 28,309,604,134.14
  5. Step 5: Solve for x
    x = 28,309,604,134.14/185,233.80
  6. Step 6: Final answer
    x = 152,831.74

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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.