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Finding the Fourth Proportional to 109,813.60, 164,720.40 and 97,566.40

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Solution

The fourth proportional to 109,813.60, 164,720.40 and 97,566.40 is: 146,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813.60 : 164,720.40 = 97,566.40 : x
  2. Step 2: Convert to fraction form
    109,813.60/164,720.40 = 97,566.40/x
  3. Step 3: Cross multiply
    109,813.60x = 164,720.40 × 97,566.40
  4. Step 4: Simplify right side
    109,813.60x = 16,071,176,434.56
  5. Step 5: Solve for x
    x = 16,071,176,434.56/109,813.60
  6. Step 6: Final answer
    x = 146,349.60

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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.