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Finding the Fourth Proportional to 202,877.04, 304,315.56 and 158,437.20

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Solution

The fourth proportional to 202,877.04, 304,315.56 and 158,437.20 is: 237,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877.04 : 304,315.56 = 158,437.20 : x
  2. Step 2: Convert to fraction form
    202,877.04/304,315.56 = 158,437.20/x
  3. Step 3: Cross multiply
    202,877.04x = 304,315.56 × 158,437.20
  4. Step 4: Simplify right side
    202,877.04x = 48,214,905,242.83
  5. Step 5: Solve for x
    x = 48,214,905,242.83/202,877.04
  6. Step 6: Final answer
    x = 237,655.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.