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Finding the Fourth Proportional to 148,802.86, 223,014.47 and 69,742.90

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Solution

The fourth proportional to 148,802.86, 223,014.47 and 69,742.90 is: 104,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,802.86 : 223,014.47 = 69,742.90 : x
  2. Step 2: Convert to fraction form
    148,802.86/223,014.47 = 69,742.90/x
  3. Step 3: Cross multiply
    148,802.86x = 223,014.47 × 69,742.90
  4. Step 4: Simplify right side
    148,802.86x = 15,553,674,939.05
  5. Step 5: Solve for x
    x = 15,553,674,939.05/148,802.86
  6. Step 6: Final answer
    x = 104,525.38

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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.