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Finding the Fourth Proportional to 210,394.40, 290,339.64 and 114,901.50

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Solution

The fourth proportional to 210,394.40, 290,339.64 and 114,901.50 is: 158,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,394.40 : 290,339.64 = 114,901.50 : x
  2. Step 2: Convert to fraction form
    210,394.40/290,339.64 = 114,901.50/x
  3. Step 3: Cross multiply
    210,394.40x = 290,339.64 × 114,901.50
  4. Step 4: Simplify right side
    210,394.40x = 33,360,460,145.46
  5. Step 5: Solve for x
    x = 33,360,460,145.46/210,394.40
  6. Step 6: Final answer
    x = 158,561.54

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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.