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Finding the Fourth Proportional to 184,863.14, 255,111.14 and 99,980.20

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Solution

The fourth proportional to 184,863.14, 255,111.14 and 99,980.20 is: 137,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863.14 : 255,111.14 = 99,980.20 : x
  2. Step 2: Convert to fraction form
    184,863.14/255,111.14 = 99,980.20/x
  3. Step 3: Cross multiply
    184,863.14x = 255,111.14 × 99,980.20
  4. Step 4: Simplify right side
    184,863.14x = 25,506,063,096.75
  5. Step 5: Solve for x
    x = 25,506,063,096.75/184,863.14
  6. Step 6: Final answer
    x = 137,972.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.