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Finding the Fourth Proportional to 183,712.86, 275,312.70 and 99,291.06

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Solution

The fourth proportional to 183,712.86, 275,312.70 and 99,291.06 is: 148,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,712.86 : 275,312.70 = 99,291.06 : x
  2. Step 2: Convert to fraction form
    183,712.86/275,312.70 = 99,291.06/x
  3. Step 3: Cross multiply
    183,712.86x = 275,312.70 × 99,291.06
  4. Step 4: Simplify right side
    183,712.86x = 27,336,089,814.46
  5. Step 5: Solve for x
    x = 27,336,089,814.46/183,712.86
  6. Step 6: Final answer
    x = 148,797.91

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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.