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Finding the Fourth Proportional to 316,102.14, 474,152.67 and 147,565.98

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Solution

The fourth proportional to 316,102.14, 474,152.67 and 147,565.98 is: 221,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.14 : 474,152.67 = 147,565.98 : x
  2. Step 2: Convert to fraction form
    316,102.14/474,152.67 = 147,565.98/x
  3. Step 3: Cross multiply
    316,102.14x = 474,152.67 × 147,565.98
  4. Step 4: Simplify right side
    316,102.14x = 69,968,803,418.17
  5. Step 5: Solve for x
    x = 69,968,803,418.17/316,102.14
  6. Step 6: Final answer
    x = 221,348.72

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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.