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Finding the Fourth Proportional to 109,497.40, 164,207.70 and 56,889.40

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Solution

The fourth proportional to 109,497.40, 164,207.70 and 56,889.40 is: 85,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497.40 : 164,207.70 = 56,889.40 : x
  2. Step 2: Convert to fraction form
    109,497.40/164,207.70 = 56,889.40/x
  3. Step 3: Cross multiply
    109,497.40x = 164,207.70 × 56,889.40
  4. Step 4: Simplify right side
    109,497.40x = 9,341,677,528.38
  5. Step 5: Solve for x
    x = 9,341,677,528.38/109,497.40
  6. Step 6: Final answer
    x = 85,314.15

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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.