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Finding the Fourth Proportional to 211,683.60, 292,126.68 and 116,199

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Solution

The fourth proportional to 211,683.60, 292,126.68 and 116,199 is: 160,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,683.60 : 292,126.68 = 116,199 : x
  2. Step 2: Convert to fraction form
    211,683.60/292,126.68 = 116,199/x
  3. Step 3: Cross multiply
    211,683.60x = 292,126.68 × 116,199
  4. Step 4: Simplify right side
    211,683.60x = 33,944,828,089.32
  5. Step 5: Solve for x
    x = 33,944,828,089.32/211,683.60
  6. Step 6: Final answer
    x = 160,356.44

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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.