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Finding the Fourth Proportional to 122,565.40, 183,848.10 and 48,693.40

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Solution

The fourth proportional to 122,565.40, 183,848.10 and 48,693.40 is: 73,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,565.40 : 183,848.10 = 48,693.40 : x
  2. Step 2: Convert to fraction form
    122,565.40/183,848.10 = 48,693.40/x
  3. Step 3: Cross multiply
    122,565.40x = 183,848.10 × 48,693.40
  4. Step 4: Simplify right side
    122,565.40x = 8,952,189,072.54
  5. Step 5: Solve for x
    x = 8,952,189,072.54/122,565.40
  6. Step 6: Final answer
    x = 73,040.10

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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.