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Finding the Fourth Proportional to 109,459.35, 164,145.08 and 53,283.08

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Solution

The fourth proportional to 109,459.35, 164,145.08 and 53,283.08 is: 79,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,459.35 : 164,145.08 = 53,283.08 : x
  2. Step 2: Convert to fraction form
    109,459.35/164,145.08 = 53,283.08/x
  3. Step 3: Cross multiply
    109,459.35x = 164,145.08 × 53,283.08
  4. Step 4: Simplify right side
    109,459.35x = 8,746,155,972.82
  5. Step 5: Solve for x
    x = 8,746,155,972.82/109,459.35
  6. Step 6: Final answer
    x = 79,903.23

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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.