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Finding the Fourth Proportional to 210,120.94, 289,966.71 and 114,627.39

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Solution

The fourth proportional to 210,120.94, 289,966.71 and 114,627.39 is: 158,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.94 : 289,966.71 = 114,627.39 : x
  2. Step 2: Convert to fraction form
    210,120.94/289,966.71 = 114,627.39/x
  3. Step 3: Cross multiply
    210,120.94x = 289,966.71 × 114,627.39
  4. Step 4: Simplify right side
    210,120.94x = 33,238,127,154.19
  5. Step 5: Solve for x
    x = 33,238,127,154.19/210,120.94
  6. Step 6: Final answer
    x = 158,185.70

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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.