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Finding the Fourth Proportional to 163,089.81, 224,968.37 and 102,564.45

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Solution

The fourth proportional to 163,089.81, 224,968.37 and 102,564.45 is: 141,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,089.81 : 224,968.37 = 102,564.45 : x
  2. Step 2: Convert to fraction form
    163,089.81/224,968.37 = 102,564.45/x
  3. Step 3: Cross multiply
    163,089.81x = 224,968.37 × 102,564.45
  4. Step 4: Simplify right side
    163,089.81x = 23,073,756,623.62
  5. Step 5: Solve for x
    x = 23,073,756,623.62/163,089.81
  6. Step 6: Final answer
    x = 141,478.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.