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Finding the Fourth Proportional to 144,970.02, 217,367.62 and 64,993.50

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Solution

The fourth proportional to 144,970.02, 217,367.62 and 64,993.50 is: 97,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970.02 : 217,367.62 = 64,993.50 : x
  2. Step 2: Convert to fraction form
    144,970.02/217,367.62 = 64,993.50/x
  3. Step 3: Cross multiply
    144,970.02x = 217,367.62 × 64,993.50
  4. Step 4: Simplify right side
    144,970.02x = 14,127,482,247.99
  5. Step 5: Solve for x
    x = 14,127,482,247.99/144,970.02
  6. Step 6: Final answer
    x = 97,451.06

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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.