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Finding the Fourth Proportional to 114,320.84, 157,415.10 and 101,388.20

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Solution

The fourth proportional to 114,320.84, 157,415.10 and 101,388.20 is: 139,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,320.84 : 157,415.10 = 101,388.20 : x
  2. Step 2: Convert to fraction form
    114,320.84/157,415.10 = 101,388.20/x
  3. Step 3: Cross multiply
    114,320.84x = 157,415.10 × 101,388.20
  4. Step 4: Simplify right side
    114,320.84x = 15,960,033,641.82
  5. Step 5: Solve for x
    x = 15,960,033,641.82/114,320.84
  6. Step 6: Final answer
    x = 139,607.39

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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.