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Finding the Fourth Proportional to 142,745.48, 214,128.84 and 42,897.68

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Solution

The fourth proportional to 142,745.48, 214,128.84 and 42,897.68 is: 64,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.48 : 214,128.84 = 42,897.68 : x
  2. Step 2: Convert to fraction form
    142,745.48/214,128.84 = 42,897.68/x
  3. Step 3: Cross multiply
    142,745.48x = 214,128.84 × 42,897.68
  4. Step 4: Simplify right side
    142,745.48x = 9,185,630,457.09
  5. Step 5: Solve for x
    x = 9,185,630,457.09/142,745.48
  6. Step 6: Final answer
    x = 64,349.71

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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.