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Finding the Fourth Proportional to 114,897.34, 172,507.47 and 58,777.70

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Solution

The fourth proportional to 114,897.34, 172,507.47 and 58,777.70 is: 88,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,897.34 : 172,507.47 = 58,777.70 : x
  2. Step 2: Convert to fraction form
    114,897.34/172,507.47 = 58,777.70/x
  3. Step 3: Cross multiply
    114,897.34x = 172,507.47 × 58,777.70
  4. Step 4: Simplify right side
    114,897.34x = 10,139,592,537.44
  5. Step 5: Solve for x
    x = 10,139,592,537.44/114,897.34
  6. Step 6: Final answer
    x = 88,249.15

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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.