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Finding the Fourth Proportional to 202,897.40, 304,273.20 and 103,024.40

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Solution

The fourth proportional to 202,897.40, 304,273.20 and 103,024.40 is: 154,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,897.40 : 304,273.20 = 103,024.40 : x
  2. Step 2: Convert to fraction form
    202,897.40/304,273.20 = 103,024.40/x
  3. Step 3: Cross multiply
    202,897.40x = 304,273.20 × 103,024.40
  4. Step 4: Simplify right side
    202,897.40x = 31,347,563,866.08
  5. Step 5: Solve for x
    x = 31,347,563,866.08/202,897.40
  6. Step 6: Final answer
    x = 154,499.58

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1.5x scale

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.