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Finding the Fourth Proportional to 154,038.52, 212,573.80 and 84,189.23

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Solution

The fourth proportional to 154,038.52, 212,573.80 and 84,189.23 is: 116,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,038.52 : 212,573.80 = 84,189.23 : x
  2. Step 2: Convert to fraction form
    154,038.52/212,573.80 = 84,189.23/x
  3. Step 3: Cross multiply
    154,038.52x = 212,573.80 × 84,189.23
  4. Step 4: Simplify right side
    154,038.52x = 17,896,423,477.31
  5. Step 5: Solve for x
    x = 17,896,423,477.31/154,038.52
  6. Step 6: Final answer
    x = 116,181.49

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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.