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Finding the Fourth Proportional to 191,106.60, 286,659.90 and 164,862.60

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Solution

The fourth proportional to 191,106.60, 286,659.90 and 164,862.60 is: 247,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,106.60 : 286,659.90 = 164,862.60 : x
  2. Step 2: Convert to fraction form
    191,106.60/286,659.90 = 164,862.60/x
  3. Step 3: Cross multiply
    191,106.60x = 286,659.90 × 164,862.60
  4. Step 4: Simplify right side
    191,106.60x = 47,259,496,429.74
  5. Step 5: Solve for x
    x = 47,259,496,429.74/191,106.60
  6. Step 6: Final answer
    x = 247,293.90

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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.