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Finding the Fourth Proportional to 142,970.97, 214,325.23 and 49,411.11

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Solution

The fourth proportional to 142,970.97, 214,325.23 and 49,411.11 is: 74,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,970.97 : 214,325.23 = 49,411.11 : x
  2. Step 2: Convert to fraction form
    142,970.97/214,325.23 = 49,411.11/x
  3. Step 3: Cross multiply
    142,970.97x = 214,325.23 × 49,411.11
  4. Step 4: Simplify right side
    142,970.97x = 10,590,047,018.72
  5. Step 5: Solve for x
    x = 10,590,047,018.72/142,970.97
  6. Step 6: Final answer
    x = 74,071.31

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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.