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Finding the Fourth Proportional to 253,477.77, 349,799.63 and 157,984.38

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Solution

The fourth proportional to 253,477.77, 349,799.63 and 157,984.38 is: 218,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,477.77 : 349,799.63 = 157,984.38 : x
  2. Step 2: Convert to fraction form
    253,477.77/349,799.63 = 157,984.38/x
  3. Step 3: Cross multiply
    253,477.77x = 349,799.63 × 157,984.38
  4. Step 4: Simplify right side
    253,477.77x = 55,262,877,669.78
  5. Step 5: Solve for x
    x = 55,262,877,669.78/253,477.77
  6. Step 6: Final answer
    x = 218,018.64

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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.