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Finding the Fourth Proportional to 400,925.16, 601,395.84 and 148,075.32

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Solution

The fourth proportional to 400,925.16, 601,395.84 and 148,075.32 is: 222,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,925.16 : 601,395.84 = 148,075.32 : x
  2. Step 2: Convert to fraction form
    400,925.16/601,395.84 = 148,075.32/x
  3. Step 3: Cross multiply
    400,925.16x = 601,395.84 × 148,075.32
  4. Step 4: Simplify right side
    400,925.16x = 89,051,881,454.67
  5. Step 5: Solve for x
    x = 89,051,881,454.67/400,925.16
  6. Step 6: Final answer
    x = 222,115.97

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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.