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Finding the Fourth Proportional to 213,807.42, 295,060.35 and 118,323

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Solution

The fourth proportional to 213,807.42, 295,060.35 and 118,323 is: 163,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,807.42 : 295,060.35 = 118,323 : x
  2. Step 2: Convert to fraction form
    213,807.42/295,060.35 = 118,323/x
  3. Step 3: Cross multiply
    213,807.42x = 295,060.35 × 118,323
  4. Step 4: Simplify right side
    213,807.42x = 34,912,425,793.05
  5. Step 5: Solve for x
    x = 34,912,425,793.05/213,807.42
  6. Step 6: Final answer
    x = 163,289.12

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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.