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Finding the Fourth Proportional to 307,140.76, 460,712.31 and 93,907.81

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Solution

The fourth proportional to 307,140.76, 460,712.31 and 93,907.81 is: 140,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,140.76 : 460,712.31 = 93,907.81 : x
  2. Step 2: Convert to fraction form
    307,140.76/460,712.31 = 93,907.81/x
  3. Step 3: Cross multiply
    307,140.76x = 460,712.31 × 93,907.81
  4. Step 4: Simplify right side
    307,140.76x = 43,264,484,072.14
  5. Step 5: Solve for x
    x = 43,264,484,072.14/307,140.76
  6. Step 6: Final answer
    x = 140,862.07

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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.