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Finding the Fourth Proportional to 151,697.70, 209,341.44 and 83,715.30

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Solution

The fourth proportional to 151,697.70, 209,341.44 and 83,715.30 is: 115,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,697.70 : 209,341.44 = 83,715.30 : x
  2. Step 2: Convert to fraction form
    151,697.70/209,341.44 = 83,715.30/x
  3. Step 3: Cross multiply
    151,697.70x = 209,341.44 × 83,715.30
  4. Step 4: Simplify right side
    151,697.70x = 17,525,081,452.03
  5. Step 5: Solve for x
    x = 17,525,081,452.03/151,697.70
  6. Step 6: Final answer
    x = 115,526.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.