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Finding the Fourth Proportional to 144,364.36, 216,546.54 and 70,429

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Solution

The fourth proportional to 144,364.36, 216,546.54 and 70,429 is: 105,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,364.36 : 216,546.54 = 70,429 : x
  2. Step 2: Convert to fraction form
    144,364.36/216,546.54 = 70,429/x
  3. Step 3: Cross multiply
    144,364.36x = 216,546.54 × 70,429
  4. Step 4: Simplify right side
    144,364.36x = 15,251,156,265.66
  5. Step 5: Solve for x
    x = 15,251,156,265.66/144,364.36
  6. Step 6: Final answer
    x = 105,643.50

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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.