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Finding the Fourth Proportional to 211,870.50, 292,381.32 and 116,378.82

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Solution

The fourth proportional to 211,870.50, 292,381.32 and 116,378.82 is: 160,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,870.50 : 292,381.32 = 116,378.82 : x
  2. Step 2: Convert to fraction form
    211,870.50/292,381.32 = 116,378.82/x
  3. Step 3: Cross multiply
    211,870.50x = 292,381.32 × 116,378.82
  4. Step 4: Simplify right side
    211,870.50x = 34,026,993,011.64
  5. Step 5: Solve for x
    x = 34,026,993,011.64/211,870.50
  6. Step 6: Final answer
    x = 160,602.79

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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.