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Finding the Fourth Proportional to 235,509, 353,177.10 and 77,690.76

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Solution

The fourth proportional to 235,509, 353,177.10 and 77,690.76 is: 116,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,509 : 353,177.10 = 77,690.76 : x
  2. Step 2: Convert to fraction form
    235,509/353,177.10 = 77,690.76/x
  3. Step 3: Cross multiply
    235,509x = 353,177.10 × 77,690.76
  4. Step 4: Simplify right side
    235,509x = 27,438,597,313.60
  5. Step 5: Solve for x
    x = 27,438,597,313.60/235,509
  6. Step 6: Final answer
    x = 116,507.64

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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.