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Finding the Fourth Proportional to 174,393.12, 261,339.68 and 99,358

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Solution

The fourth proportional to 174,393.12, 261,339.68 and 99,358 is: 148,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,393.12 : 261,339.68 = 99,358 : x
  2. Step 2: Convert to fraction form
    174,393.12/261,339.68 = 99,358/x
  3. Step 3: Cross multiply
    174,393.12x = 261,339.68 × 99,358
  4. Step 4: Simplify right side
    174,393.12x = 25,966,187,925.44
  5. Step 5: Solve for x
    x = 25,966,187,925.44/174,393.12
  6. Step 6: Final answer
    x = 148,894.57

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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.