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Finding the Fourth Proportional to 289,154.93, 399,033.74 and 161,830.52

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Solution

The fourth proportional to 289,154.93, 399,033.74 and 161,830.52 is: 223,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,154.93 : 399,033.74 = 161,830.52 : x
  2. Step 2: Convert to fraction form
    289,154.93/399,033.74 = 161,830.52/x
  3. Step 3: Cross multiply
    289,154.93x = 399,033.74 × 161,830.52
  4. Step 4: Simplify right side
    289,154.93x = 64,575,837,547.53
  5. Step 5: Solve for x
    x = 64,575,837,547.53/289,154.93
  6. Step 6: Final answer
    x = 223,326.09

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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.