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Finding the Fourth Proportional to 211,602.76, 292,011 and 116,111.05

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Solution

The fourth proportional to 211,602.76, 292,011 and 116,111.05 is: 160,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602.76 : 292,011 = 116,111.05 : x
  2. Step 2: Convert to fraction form
    211,602.76/292,011 = 116,111.05/x
  3. Step 3: Cross multiply
    211,602.76x = 292,011 × 116,111.05
  4. Step 4: Simplify right side
    211,602.76x = 33,905,703,821.55
  5. Step 5: Solve for x
    x = 33,905,703,821.55/211,602.76
  6. Step 6: Final answer
    x = 160,232.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.