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Finding the Fourth Proportional to 210,055.32, 289,883.34 and 114,567.30

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Solution

The fourth proportional to 210,055.32, 289,883.34 and 114,567.30 is: 158,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,055.32 : 289,883.34 = 114,567.30 : x
  2. Step 2: Convert to fraction form
    210,055.32/289,883.34 = 114,567.30/x
  3. Step 3: Cross multiply
    210,055.32x = 289,883.34 × 114,567.30
  4. Step 4: Simplify right side
    210,055.32x = 33,211,151,578.78
  5. Step 5: Solve for x
    x = 33,211,151,578.78/210,055.32
  6. Step 6: Final answer
    x = 158,106.69

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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.