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Finding the Fourth Proportional to 163,072.56, 224,944.56 and 102,547.20

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Solution

The fourth proportional to 163,072.56, 224,944.56 and 102,547.20 is: 141,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,072.56 : 224,944.56 = 102,547.20 : x
  2. Step 2: Convert to fraction form
    163,072.56/224,944.56 = 102,547.20/x
  3. Step 3: Cross multiply
    163,072.56x = 224,944.56 × 102,547.20
  4. Step 4: Simplify right side
    163,072.56x = 23,067,434,783.23
  5. Step 5: Solve for x
    x = 23,067,434,783.23/163,072.56
  6. Step 6: Final answer
    x = 141,455.04

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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.