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Finding the Fourth Proportional to 152,475.38, 210,153.32 and 101,396.81

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Solution

The fourth proportional to 152,475.38, 210,153.32 and 101,396.81 is: 139,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,475.38 : 210,153.32 = 101,396.81 : x
  2. Step 2: Convert to fraction form
    152,475.38/210,153.32 = 101,396.81/x
  3. Step 3: Cross multiply
    152,475.38x = 210,153.32 × 101,396.81
  4. Step 4: Simplify right side
    152,475.38x = 21,308,876,657.55
  5. Step 5: Solve for x
    x = 21,308,876,657.55/152,475.38
  6. Step 6: Final answer
    x = 139,752.90

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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.