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Finding the Fourth Proportional to 210,465.39, 290,438.60 and 114,969.63

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Solution

The fourth proportional to 210,465.39, 290,438.60 and 114,969.63 is: 158,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465.39 : 290,438.60 = 114,969.63 : x
  2. Step 2: Convert to fraction form
    210,465.39/290,438.60 = 114,969.63/x
  3. Step 3: Cross multiply
    210,465.39x = 290,438.60 × 114,969.63
  4. Step 4: Simplify right side
    210,465.39x = 33,391,617,804.87
  5. Step 5: Solve for x
    x = 33,391,617,804.87/210,465.39
  6. Step 6: Final answer
    x = 158,656.10

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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.