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Finding the Fourth Proportional to 104,684.96, 144,465.92 and 56,938.64

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Solution

The fourth proportional to 104,684.96, 144,465.92 and 56,938.64 is: 78,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,684.96 : 144,465.92 = 56,938.64 : x
  2. Step 2: Convert to fraction form
    104,684.96/144,465.92 = 56,938.64/x
  3. Step 3: Cross multiply
    104,684.96x = 144,465.92 × 56,938.64
  4. Step 4: Simplify right side
    104,684.96x = 8,225,693,011.15
  5. Step 5: Solve for x
    x = 8,225,693,011.15/104,684.96
  6. Step 6: Final answer
    x = 78,575.69

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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.