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Finding the Fourth Proportional to 289,662.50, 434,613.66 and 156,386.01

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Solution

The fourth proportional to 289,662.50, 434,613.66 and 156,386.01 is: 234,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,662.50 : 434,613.66 = 156,386.01 : x
  2. Step 2: Convert to fraction form
    289,662.50/434,613.66 = 156,386.01/x
  3. Step 3: Cross multiply
    289,662.50x = 434,613.66 × 156,386.01
  4. Step 4: Simplify right side
    289,662.50x = 67,967,497,222.25
  5. Step 5: Solve for x
    x = 67,967,497,222.25/289,662.50
  6. Step 6: Final answer
    x = 234,643.75

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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.