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Finding the Fourth Proportional to 142,815.51, 214,225.20 and 54,045.18

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Solution

The fourth proportional to 142,815.51, 214,225.20 and 54,045.18 is: 81,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,815.51 : 214,225.20 = 54,045.18 : x
  2. Step 2: Convert to fraction form
    142,815.51/214,225.20 = 54,045.18/x
  3. Step 3: Cross multiply
    142,815.51x = 214,225.20 × 54,045.18
  4. Step 4: Simplify right side
    142,815.51x = 11,577,839,494.54
  5. Step 5: Solve for x
    x = 11,577,839,494.54/142,815.51
  6. Step 6: Final answer
    x = 81,068.50

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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.