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Finding the Fourth Proportional to 233,602.86, 350,254.83 and 138,807.78

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Solution

The fourth proportional to 233,602.86, 350,254.83 and 138,807.78 is: 208,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,602.86 : 350,254.83 = 138,807.78 : x
  2. Step 2: Convert to fraction form
    233,602.86/350,254.83 = 138,807.78/x
  3. Step 3: Cross multiply
    233,602.86x = 350,254.83 × 138,807.78
  4. Step 4: Simplify right side
    233,602.86x = 48,618,095,386.58
  5. Step 5: Solve for x
    x = 48,618,095,386.58/233,602.86
  6. Step 6: Final answer
    x = 208,122.86

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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.