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Finding the Fourth Proportional to 205,798.51, 284,521.58 and 151,998.31

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Solution

The fourth proportional to 205,798.51, 284,521.58 and 151,998.31 is: 210,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,798.51 : 284,521.58 = 151,998.31 : x
  2. Step 2: Convert to fraction form
    205,798.51/284,521.58 = 151,998.31/x
  3. Step 3: Cross multiply
    205,798.51x = 284,521.58 × 151,998.31
  4. Step 4: Simplify right side
    205,798.51x = 43,246,799,318.53
  5. Step 5: Solve for x
    x = 43,246,799,318.53/205,798.51
  6. Step 6: Final answer
    x = 210,141.46

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1.5x scale

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.