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Finding the Fourth Proportional to 210,037.32, 289,858.54 and 114,549.24

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Solution

The fourth proportional to 210,037.32, 289,858.54 and 114,549.24 is: 158,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.32 : 289,858.54 = 114,549.24 : x
  2. Step 2: Convert to fraction form
    210,037.32/289,858.54 = 114,549.24/x
  3. Step 3: Cross multiply
    210,037.32x = 289,858.54 × 114,549.24
  4. Step 4: Simplify right side
    210,037.32x = 33,203,075,464.51
  5. Step 5: Solve for x
    x = 33,203,075,464.51/210,037.32
  6. Step 6: Final answer
    x = 158,081.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.