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Finding the Fourth Proportional to 109,405.60, 164,108.40 and 42,823.60

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Solution

The fourth proportional to 109,405.60, 164,108.40 and 42,823.60 is: 64,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405.60 : 164,108.40 = 42,823.60 : x
  2. Step 2: Convert to fraction form
    109,405.60/164,108.40 = 42,823.60/x
  3. Step 3: Cross multiply
    109,405.60x = 164,108.40 × 42,823.60
  4. Step 4: Simplify right side
    109,405.60x = 7,027,712,478.24
  5. Step 5: Solve for x
    x = 7,027,712,478.24/109,405.60
  6. Step 6: Final answer
    x = 64,235.40

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1.5x scale

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.