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Finding the Fourth Proportional to 122,953.40, 184,430.10 and 67,657.40

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Solution

The fourth proportional to 122,953.40, 184,430.10 and 67,657.40 is: 101,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,953.40 : 184,430.10 = 67,657.40 : x
  2. Step 2: Convert to fraction form
    122,953.40/184,430.10 = 67,657.40/x
  3. Step 3: Cross multiply
    122,953.40x = 184,430.10 × 67,657.40
  4. Step 4: Simplify right side
    122,953.40x = 12,478,061,047.74
  5. Step 5: Solve for x
    x = 12,478,061,047.74/122,953.40
  6. Step 6: Final answer
    x = 101,486.10

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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.