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Finding the Fourth Proportional to 299,038.08, 448,632.66 and 99,359.52

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Solution

The fourth proportional to 299,038.08, 448,632.66 and 99,359.52 is: 149,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,038.08 : 448,632.66 = 99,359.52 : x
  2. Step 2: Convert to fraction form
    299,038.08/448,632.66 = 99,359.52/x
  3. Step 3: Cross multiply
    299,038.08x = 448,632.66 × 99,359.52
  4. Step 4: Simplify right side
    299,038.08x = 44,575,925,753.92
  5. Step 5: Solve for x
    x = 44,575,925,753.92/299,038.08
  6. Step 6: Final answer
    x = 149,064.38

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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.