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Finding the Fourth Proportional to 229,038.23, 343,482.09 and 77,194.58

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Solution

The fourth proportional to 229,038.23, 343,482.09 and 77,194.58 is: 115,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,038.23 : 343,482.09 = 77,194.58 : x
  2. Step 2: Convert to fraction form
    229,038.23/343,482.09 = 77,194.58/x
  3. Step 3: Cross multiply
    229,038.23x = 343,482.09 × 77,194.58
  4. Step 4: Simplify right side
    229,038.23x = 26,514,953,957.66
  5. Step 5: Solve for x
    x = 26,514,953,957.66/229,038.23
  6. Step 6: Final answer
    x = 115,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.