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Finding the Fourth Proportional to 456,281.30, 684,193.53 and 140,697.20

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Solution

The fourth proportional to 456,281.30, 684,193.53 and 140,697.20 is: 210,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,281.30 : 684,193.53 = 140,697.20 : x
  2. Step 2: Convert to fraction form
    456,281.30/684,193.53 = 140,697.20/x
  3. Step 3: Cross multiply
    456,281.30x = 684,193.53 × 140,697.20
  4. Step 4: Simplify right side
    456,281.30x = 96,264,113,929.12
  5. Step 5: Solve for x
    x = 96,264,113,929.12/456,281.30
  6. Step 6: Final answer
    x = 210,975.37

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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.