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Finding the Fourth Proportional to 227,661.12, 341,774.63 and 147,436.50

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Solution

The fourth proportional to 227,661.12, 341,774.63 and 147,436.50 is: 221,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,661.12 : 341,774.63 = 147,436.50 : x
  2. Step 2: Convert to fraction form
    227,661.12/341,774.63 = 147,436.50/x
  3. Step 3: Cross multiply
    227,661.12x = 341,774.63 × 147,436.50
  4. Step 4: Simplify right side
    227,661.12x = 50,390,054,498.81
  5. Step 5: Solve for x
    x = 50,390,054,498.81/227,661.12
  6. Step 6: Final answer
    x = 221,337.99

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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.