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Finding the Fourth Proportional to 202,931.88, 280,027.14 and 118,047.72

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Solution

The fourth proportional to 202,931.88, 280,027.14 and 118,047.72 is: 162,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,931.88 : 280,027.14 = 118,047.72 : x
  2. Step 2: Convert to fraction form
    202,931.88/280,027.14 = 118,047.72/x
  3. Step 3: Cross multiply
    202,931.88x = 280,027.14 × 118,047.72
  4. Step 4: Simplify right side
    202,931.88x = 33,056,565,415.12
  5. Step 5: Solve for x
    x = 33,056,565,415.12/202,931.88
  6. Step 6: Final answer
    x = 162,894.89

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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.