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Finding the Fourth Proportional to 144,382.36, 216,573.54 and 70,447

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Solution

The fourth proportional to 144,382.36, 216,573.54 and 70,447 is: 105,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,382.36 : 216,573.54 = 70,447 : x
  2. Step 2: Convert to fraction form
    144,382.36/216,573.54 = 70,447/x
  3. Step 3: Cross multiply
    144,382.36x = 216,573.54 × 70,447
  4. Step 4: Simplify right side
    144,382.36x = 15,256,956,172.38
  5. Step 5: Solve for x
    x = 15,256,956,172.38/144,382.36
  6. Step 6: Final answer
    x = 105,670.50

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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.