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Finding the Fourth Proportional to 135,223.87, 202,935.46 and 64,146.72

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Solution

The fourth proportional to 135,223.87, 202,935.46 and 64,146.72 is: 96,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,223.87 : 202,935.46 = 64,146.72 : x
  2. Step 2: Convert to fraction form
    135,223.87/202,935.46 = 64,146.72/x
  3. Step 3: Cross multiply
    135,223.87x = 202,935.46 × 64,146.72
  4. Step 4: Simplify right side
    135,223.87x = 13,017,643,970.32
  5. Step 5: Solve for x
    x = 13,017,643,970.32/135,223.87
  6. Step 6: Final answer
    x = 96,267.35

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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.