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Finding the Fourth Proportional to 144,473.36, 216,416.28 and 117,914

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Solution

The fourth proportional to 144,473.36, 216,416.28 and 117,914 is: 176,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,473.36 : 216,416.28 = 117,914 : x
  2. Step 2: Convert to fraction form
    144,473.36/216,416.28 = 117,914/x
  3. Step 3: Cross multiply
    144,473.36x = 216,416.28 × 117,914
  4. Step 4: Simplify right side
    144,473.36x = 25,518,509,239.92
  5. Step 5: Solve for x
    x = 25,518,509,239.92/144,473.36
  6. Step 6: Final answer
    x = 176,631.24

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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.