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Finding the Fourth Proportional to 205,464.47, 308,168.01 and 70,526.43

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Solution

The fourth proportional to 205,464.47, 308,168.01 and 70,526.43 is: 105,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,464.47 : 308,168.01 = 70,526.43 : x
  2. Step 2: Convert to fraction form
    205,464.47/308,168.01 = 70,526.43/x
  3. Step 3: Cross multiply
    205,464.47x = 308,168.01 × 70,526.43
  4. Step 4: Simplify right side
    205,464.47x = 21,733,989,585.50
  5. Step 5: Solve for x
    x = 21,733,989,585.50/205,464.47
  6. Step 6: Final answer
    x = 105,779.80

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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.