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Finding the Fourth Proportional to 259,548, 358,176.72 and 140,316

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Solution

The fourth proportional to 259,548, 358,176.72 and 140,316 is: 193,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,548 : 358,176.72 = 140,316 : x
  2. Step 2: Convert to fraction form
    259,548/358,176.72 = 140,316/x
  3. Step 3: Cross multiply
    259,548x = 358,176.72 × 140,316
  4. Step 4: Simplify right side
    259,548x = 50,257,924,643.52
  5. Step 5: Solve for x
    x = 50,257,924,643.52/259,548
  6. Step 6: Final answer
    x = 193,636.34

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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.