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Finding the Fourth Proportional to 210,424.68, 290,386.02 and 114,931.60

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Solution

The fourth proportional to 210,424.68, 290,386.02 and 114,931.60 is: 158,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,424.68 : 290,386.02 = 114,931.60 : x
  2. Step 2: Convert to fraction form
    210,424.68/290,386.02 = 114,931.60/x
  3. Step 3: Cross multiply
    210,424.68x = 290,386.02 × 114,931.60
  4. Step 4: Simplify right side
    210,424.68x = 33,374,529,896.23
  5. Step 5: Solve for x
    x = 33,374,529,896.23/210,424.68
  6. Step 6: Final answer
    x = 158,605.59

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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.