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Finding the Fourth Proportional to 211,616.49, 292,030.35 and 114,820.32

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Solution

The fourth proportional to 211,616.49, 292,030.35 and 114,820.32 is: 158,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,616.49 : 292,030.35 = 114,820.32 : x
  2. Step 2: Convert to fraction form
    211,616.49/292,030.35 = 114,820.32/x
  3. Step 3: Cross multiply
    211,616.49x = 292,030.35 × 114,820.32
  4. Step 4: Simplify right side
    211,616.49x = 33,531,018,236.71
  5. Step 5: Solve for x
    x = 33,531,018,236.71/211,616.49
  6. Step 6: Final answer
    x = 158,451.82

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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.