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Finding the Fourth Proportional to 157,964.90, 236,947.35 and 157,964.90

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Solution

The fourth proportional to 157,964.90, 236,947.35 and 157,964.90 is: 236,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,964.90 : 236,947.35 = 157,964.90 : x
  2. Step 2: Convert to fraction form
    157,964.90/236,947.35 = 157,964.90/x
  3. Step 3: Cross multiply
    157,964.90x = 236,947.35 × 157,964.90
  4. Step 4: Simplify right side
    157,964.90x = 37,429,364,448.02
  5. Step 5: Solve for x
    x = 37,429,364,448.02/157,964.90
  6. Step 6: Final answer
    x = 236,947.35

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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.