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Finding the Fourth Proportional to 144,095.64, 216,071.95 and 49,299

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Solution

The fourth proportional to 144,095.64, 216,071.95 and 49,299 is: 73,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,095.64 : 216,071.95 = 49,299 : x
  2. Step 2: Convert to fraction form
    144,095.64/216,071.95 = 49,299/x
  3. Step 3: Cross multiply
    144,095.64x = 216,071.95 × 49,299
  4. Step 4: Simplify right side
    144,095.64x = 10,652,131,063.05
  5. Step 5: Solve for x
    x = 10,652,131,063.05/144,095.64
  6. Step 6: Final answer
    x = 73,924.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.