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Finding the Fourth Proportional to 260,038.10, 358,853.07 and 145,316.74

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Solution

The fourth proportional to 260,038.10, 358,853.07 and 145,316.74 is: 200,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.10 : 358,853.07 = 145,316.74 : x
  2. Step 2: Convert to fraction form
    260,038.10/358,853.07 = 145,316.74/x
  3. Step 3: Cross multiply
    260,038.10x = 358,853.07 × 145,316.74
  4. Step 4: Simplify right side
    260,038.10x = 52,147,358,441.94
  5. Step 5: Solve for x
    x = 52,147,358,441.94/260,038.10
  6. Step 6: Final answer
    x = 200,537.38

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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.