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Finding the Fourth Proportional to 98,838.48, 136,413 and 56,398.80

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Solution

The fourth proportional to 98,838.48, 136,413 and 56,398.80 is: 77,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,838.48 : 136,413 = 56,398.80 : x
  2. Step 2: Convert to fraction form
    98,838.48/136,413 = 56,398.80/x
  3. Step 3: Cross multiply
    98,838.48x = 136,413 × 56,398.80
  4. Step 4: Simplify right side
    98,838.48x = 7,693,529,504.40
  5. Step 5: Solve for x
    x = 7,693,529,504.40/98,838.48
  6. Step 6: Final answer
    x = 77,839.42

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1.5x scale

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.