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Finding the Fourth Proportional to 210,458.12, 290,440.01 and 114,965.46

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Solution

The fourth proportional to 210,458.12, 290,440.01 and 114,965.46 is: 158,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.12 : 290,440.01 = 114,965.46 : x
  2. Step 2: Convert to fraction form
    210,458.12/290,440.01 = 114,965.46/x
  3. Step 3: Cross multiply
    210,458.12x = 290,440.01 × 114,965.46
  4. Step 4: Simplify right side
    210,458.12x = 33,390,569,639.47
  5. Step 5: Solve for x
    x = 33,390,569,639.47/210,458.12
  6. Step 6: Final answer
    x = 158,656.60

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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.