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Finding the Fourth Proportional to 140,407.49, 210,631.02 and 45,607.31

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Solution

The fourth proportional to 140,407.49, 210,631.02 and 45,607.31 is: 68,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,407.49 : 210,631.02 = 45,607.31 : x
  2. Step 2: Convert to fraction form
    140,407.49/210,631.02 = 45,607.31/x
  3. Step 3: Cross multiply
    140,407.49x = 210,631.02 × 45,607.31
  4. Step 4: Simplify right side
    140,407.49x = 9,606,314,224.76
  5. Step 5: Solve for x
    x = 9,606,314,224.76/140,407.49
  6. Step 6: Final answer
    x = 68,417.39

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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.