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Finding the Fourth Proportional to 253,595.61, 349,957.67 and 140,415.93

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Solution

The fourth proportional to 253,595.61, 349,957.67 and 140,415.93 is: 193,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,595.61 : 349,957.67 = 140,415.93 : x
  2. Step 2: Convert to fraction form
    253,595.61/349,957.67 = 140,415.93/x
  3. Step 3: Cross multiply
    253,595.61x = 349,957.67 × 140,415.93
  4. Step 4: Simplify right side
    253,595.61x = 49,139,630,991.60
  5. Step 5: Solve for x
    x = 49,139,630,991.60/253,595.61
  6. Step 6: Final answer
    x = 193,771.62

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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.