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Finding the Fourth Proportional to 114,120, 157,486.14 and 63,819

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Solution

The fourth proportional to 114,120, 157,486.14 and 63,819 is: 88,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,120 : 157,486.14 = 63,819 : x
  2. Step 2: Convert to fraction form
    114,120/157,486.14 = 63,819/x
  3. Step 3: Cross multiply
    114,120x = 157,486.14 × 63,819
  4. Step 4: Simplify right side
    114,120x = 10,050,607,968.66
  5. Step 5: Solve for x
    x = 10,050,607,968.66/114,120
  6. Step 6: Final answer
    x = 88,070.52

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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.