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Finding the Fourth Proportional to 106,298.01, 159,447.22 and 99,802.62

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Solution

The fourth proportional to 106,298.01, 159,447.22 and 99,802.62 is: 149,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.01 : 159,447.22 = 99,802.62 : x
  2. Step 2: Convert to fraction form
    106,298.01/159,447.22 = 99,802.62/x
  3. Step 3: Cross multiply
    106,298.01x = 159,447.22 × 99,802.62
  4. Step 4: Simplify right side
    106,298.01x = 15,913,249,808.70
  5. Step 5: Solve for x
    x = 15,913,249,808.70/106,298.01
  6. Step 6: Final answer
    x = 149,704.12

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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.