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Finding the Fourth Proportional to 260,065.66, 358,886.37 and 145,345.90

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Solution

The fourth proportional to 260,065.66, 358,886.37 and 145,345.90 is: 200,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,065.66 : 358,886.37 = 145,345.90 : x
  2. Step 2: Convert to fraction form
    260,065.66/358,886.37 = 145,345.90/x
  3. Step 3: Cross multiply
    260,065.66x = 358,886.37 × 145,345.90
  4. Step 4: Simplify right side
    260,065.66x = 52,162,662,445.38
  5. Step 5: Solve for x
    x = 52,162,662,445.38/260,065.66
  6. Step 6: Final answer
    x = 200,574.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.