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Finding the Fourth Proportional to 106,897.48, 160,401.53 and 77,557.48

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Solution

The fourth proportional to 106,897.48, 160,401.53 and 77,557.48 is: 116,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.48 : 160,401.53 = 77,557.48 : x
  2. Step 2: Convert to fraction form
    106,897.48/160,401.53 = 77,557.48/x
  3. Step 3: Cross multiply
    106,897.48x = 160,401.53 × 77,557.48
  4. Step 4: Simplify right side
    106,897.48x = 12,440,338,067.16
  5. Step 5: Solve for x
    x = 12,440,338,067.16/106,897.48
  6. Step 6: Final answer
    x = 116,376.35

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1.5x scale

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.