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Finding the Fourth Proportional to 96,309.40, 144,464.10 and 64,816.60

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Solution

The fourth proportional to 96,309.40, 144,464.10 and 64,816.60 is: 97,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309.40 : 144,464.10 = 64,816.60 : x
  2. Step 2: Convert to fraction form
    96,309.40/144,464.10 = 64,816.60/x
  3. Step 3: Cross multiply
    96,309.40x = 144,464.10 × 64,816.60
  4. Step 4: Simplify right side
    96,309.40x = 9,363,671,784.06
  5. Step 5: Solve for x
    x = 9,363,671,784.06/96,309.40
  6. Step 6: Final answer
    x = 97,224.90

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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.