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Finding the Fourth Proportional to 114,095.90, 157,438.64 and 63,101.70

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Solution

The fourth proportional to 114,095.90, 157,438.64 and 63,101.70 is: 87,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,095.90 : 157,438.64 = 63,101.70 : x
  2. Step 2: Convert to fraction form
    114,095.90/157,438.64 = 63,101.70/x
  3. Step 3: Cross multiply
    114,095.90x = 157,438.64 × 63,101.70
  4. Step 4: Simplify right side
    114,095.90x = 9,934,645,829.69
  5. Step 5: Solve for x
    x = 9,934,645,829.69/114,095.90
  6. Step 6: Final answer
    x = 87,072.77

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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.