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Finding the Fourth Proportional to 253,541.84, 349,874.42 and 138,798.50

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Solution

The fourth proportional to 253,541.84, 349,874.42 and 138,798.50 is: 191,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,541.84 : 349,874.42 = 138,798.50 : x
  2. Step 2: Convert to fraction form
    253,541.84/349,874.42 = 138,798.50/x
  3. Step 3: Cross multiply
    253,541.84x = 349,874.42 × 138,798.50
  4. Step 4: Simplify right side
    253,541.84x = 48,562,044,684.37
  5. Step 5: Solve for x
    x = 48,562,044,684.37/253,541.84
  6. Step 6: Final answer
    x = 191,534.64

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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.