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Finding the Fourth Proportional to 211,740.72, 292,202.70 and 116,253.57

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Solution

The fourth proportional to 211,740.72, 292,202.70 and 116,253.57 is: 160,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,740.72 : 292,202.70 = 116,253.57 : x
  2. Step 2: Convert to fraction form
    211,740.72/292,202.70 = 116,253.57/x
  3. Step 3: Cross multiply
    211,740.72x = 292,202.70 × 116,253.57
  4. Step 4: Simplify right side
    211,740.72x = 33,969,607,038.64
  5. Step 5: Solve for x
    x = 33,969,607,038.64/211,740.72
  6. Step 6: Final answer
    x = 160,430.20

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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.