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Finding the Fourth Proportional to 213,577, 294,731.38 and 118,084.48

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Solution

The fourth proportional to 213,577, 294,731.38 and 118,084.48 is: 162,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,577 : 294,731.38 = 118,084.48 : x
  2. Step 2: Convert to fraction form
    213,577/294,731.38 = 118,084.48/x
  3. Step 3: Cross multiply
    213,577x = 294,731.38 × 118,084.48
  4. Step 4: Simplify right side
    213,577x = 34,803,201,746.98
  5. Step 5: Solve for x
    x = 34,803,201,746.98/213,577
  6. Step 6: Final answer
    x = 162,953.88

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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.