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Finding the Fourth Proportional to 272,947.30, 409,433.10 and 93,030.10

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Solution

The fourth proportional to 272,947.30, 409,433.10 and 93,030.10 is: 139,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,947.30 : 409,433.10 = 93,030.10 : x
  2. Step 2: Convert to fraction form
    272,947.30/409,433.10 = 93,030.10/x
  3. Step 3: Cross multiply
    272,947.30x = 409,433.10 × 93,030.10
  4. Step 4: Simplify right side
    272,947.30x = 38,089,602,236.31
  5. Step 5: Solve for x
    x = 38,089,602,236.31/272,947.30
  6. Step 6: Final answer
    x = 139,549.29

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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.