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Finding the Fourth Proportional to 288,550.14, 432,831.35 and 99,009

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Solution

The fourth proportional to 288,550.14, 432,831.35 and 99,009 is: 148,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,550.14 : 432,831.35 = 99,009 : x
  2. Step 2: Convert to fraction form
    288,550.14/432,831.35 = 99,009/x
  3. Step 3: Cross multiply
    288,550.14x = 432,831.35 × 99,009
  4. Step 4: Simplify right side
    288,550.14x = 42,854,199,132.15
  5. Step 5: Solve for x
    x = 42,854,199,132.15/288,550.14
  6. Step 6: Final answer
    x = 148,515.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.