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Finding the Fourth Proportional to 501,862.63, 752,823.18 and 142,003.36

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Solution

The fourth proportional to 501,862.63, 752,823.18 and 142,003.36 is: 213,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,862.63 : 752,823.18 = 142,003.36 : x
  2. Step 2: Convert to fraction form
    501,862.63/752,823.18 = 142,003.36/x
  3. Step 3: Cross multiply
    501,862.63x = 752,823.18 × 142,003.36
  4. Step 4: Simplify right side
    501,862.63x = 106,903,421,045.89
  5. Step 5: Solve for x
    x = 106,903,421,045.89/501,862.63
  6. Step 6: Final answer
    x = 213,013.31

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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.