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Finding the Fourth Proportional to 199,833.40, 299,750.10 and 147,345.40

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Solution

The fourth proportional to 199,833.40, 299,750.10 and 147,345.40 is: 221,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,833.40 : 299,750.10 = 147,345.40 : x
  2. Step 2: Convert to fraction form
    199,833.40/299,750.10 = 147,345.40/x
  3. Step 3: Cross multiply
    199,833.40x = 299,750.10 × 147,345.40
  4. Step 4: Simplify right side
    199,833.40x = 44,166,798,384.54
  5. Step 5: Solve for x
    x = 44,166,798,384.54/199,833.40
  6. Step 6: Final answer
    x = 221,018.10

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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.