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Finding the Fourth Proportional to 102,567.66, 153,831.94 and 43,444.84

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Solution

The fourth proportional to 102,567.66, 153,831.94 and 43,444.84 is: 65,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.66 : 153,831.94 = 43,444.84 : x
  2. Step 2: Convert to fraction form
    102,567.66/153,831.94 = 43,444.84/x
  3. Step 3: Cross multiply
    102,567.66x = 153,831.94 × 43,444.84
  4. Step 4: Simplify right side
    102,567.66x = 6,683,204,020.19
  5. Step 5: Solve for x
    x = 6,683,204,020.19/102,567.66
  6. Step 6: Final answer
    x = 65,158.98

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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.