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Finding the Fourth Proportional to 163,087.02, 224,851.80 and 105,624.84

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Solution

The fourth proportional to 163,087.02, 224,851.80 and 105,624.84 is: 145,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,087.02 : 224,851.80 = 105,624.84 : x
  2. Step 2: Convert to fraction form
    163,087.02/224,851.80 = 105,624.84/x
  3. Step 3: Cross multiply
    163,087.02x = 224,851.80 × 105,624.84
  4. Step 4: Simplify right side
    163,087.02x = 23,749,935,398.71
  5. Step 5: Solve for x
    x = 23,749,935,398.71/163,087.02
  6. Step 6: Final answer
    x = 145,627.38

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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.