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Finding the Fourth Proportional to 109,009.70, 163,284.15 and 97,336.10

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Solution

The fourth proportional to 109,009.70, 163,284.15 and 97,336.10 is: 145,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009.70 : 163,284.15 = 97,336.10 : x
  2. Step 2: Convert to fraction form
    109,009.70/163,284.15 = 97,336.10/x
  3. Step 3: Cross multiply
    109,009.70x = 163,284.15 × 97,336.10
  4. Step 4: Simplify right side
    109,009.70x = 15,893,442,352.82
  5. Step 5: Solve for x
    x = 15,893,442,352.82/109,009.70
  6. Step 6: Final answer
    x = 145,798.42

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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.