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Finding the Fourth Proportional to 211,958.64, 292,503.15 and 116,470.98

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Solution

The fourth proportional to 211,958.64, 292,503.15 and 116,470.98 is: 160,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,958.64 : 292,503.15 = 116,470.98 : x
  2. Step 2: Convert to fraction form
    211,958.64/292,503.15 = 116,470.98/x
  3. Step 3: Cross multiply
    211,958.64x = 292,503.15 × 116,470.98
  4. Step 4: Simplify right side
    211,958.64x = 34,068,128,533.59
  5. Step 5: Solve for x
    x = 34,068,128,533.59/211,958.64
  6. Step 6: Final answer
    x = 160,730.08

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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.