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Finding the Fourth Proportional to 214,802.09, 322,484.71 and 144,041.36

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Solution

The fourth proportional to 214,802.09, 322,484.71 and 144,041.36 is: 216,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.09 : 322,484.71 = 144,041.36 : x
  2. Step 2: Convert to fraction form
    214,802.09/322,484.71 = 144,041.36/x
  3. Step 3: Cross multiply
    214,802.09x = 322,484.71 × 144,041.36
  4. Step 4: Simplify right side
    214,802.09x = 46,451,137,013.82
  5. Step 5: Solve for x
    x = 46,451,137,013.82/214,802.09
  6. Step 6: Final answer
    x = 216,250.86

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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.