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Finding the Fourth Proportional to 122,952.60, 184,202.10 and 70,205.40

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Solution

The fourth proportional to 122,952.60, 184,202.10 and 70,205.40 is: 105,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,952.60 : 184,202.10 = 70,205.40 : x
  2. Step 2: Convert to fraction form
    122,952.60/184,202.10 = 70,205.40/x
  3. Step 3: Cross multiply
    122,952.60x = 184,202.10 × 70,205.40
  4. Step 4: Simplify right side
    122,952.60x = 12,931,982,111.34
  5. Step 5: Solve for x
    x = 12,931,982,111.34/122,952.60
  6. Step 6: Final answer
    x = 105,178.60

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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.