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Finding the Fourth Proportional to 205,803.40, 308,532.30 and 107,307.40

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Solution

The fourth proportional to 205,803.40, 308,532.30 and 107,307.40 is: 160,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,803.40 : 308,532.30 = 107,307.40 : x
  2. Step 2: Convert to fraction form
    205,803.40/308,532.30 = 107,307.40/x
  3. Step 3: Cross multiply
    205,803.40x = 308,532.30 × 107,307.40
  4. Step 4: Simplify right side
    205,803.40x = 33,107,798,929.02
  5. Step 5: Solve for x
    x = 33,107,798,929.02/205,803.40
  6. Step 6: Final answer
    x = 160,871.00

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