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Finding the Fourth Proportional to 144,970.29, 217,368.02 and 64,993.77

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Solution

The fourth proportional to 144,970.29, 217,368.02 and 64,993.77 is: 97,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970.29 : 217,368.02 = 64,993.77 : x
  2. Step 2: Convert to fraction form
    144,970.29/217,368.02 = 64,993.77/x
  3. Step 3: Cross multiply
    144,970.29x = 217,368.02 × 64,993.77
  4. Step 4: Simplify right side
    144,970.29x = 14,127,566,772.27
  5. Step 5: Solve for x
    x = 14,127,566,772.27/144,970.29
  6. Step 6: Final answer
    x = 97,451.46

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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.