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Finding the Fourth Proportional to 98,461.92, 147,457.44 and 56,782.56

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Solution

The fourth proportional to 98,461.92, 147,457.44 and 56,782.56 is: 85,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,461.92 : 147,457.44 = 56,782.56 : x
  2. Step 2: Convert to fraction form
    98,461.92/147,457.44 = 56,782.56/x
  3. Step 3: Cross multiply
    98,461.92x = 147,457.44 × 56,782.56
  4. Step 4: Simplify right side
    98,461.92x = 8,373,010,934.25
  5. Step 5: Solve for x
    x = 8,373,010,934.25/98,461.92
  6. Step 6: Final answer
    x = 85,038.06

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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.