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Finding the Fourth Proportional to 210,424.67, 290,386.03 and 114,931.59

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Solution

The fourth proportional to 210,424.67, 290,386.03 and 114,931.59 is: 158,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,424.67 : 290,386.03 = 114,931.59 : x
  2. Step 2: Convert to fraction form
    210,424.67/290,386.03 = 114,931.59/x
  3. Step 3: Cross multiply
    210,424.67x = 290,386.03 × 114,931.59
  4. Step 4: Simplify right side
    210,424.67x = 33,374,528,141.69
  5. Step 5: Solve for x
    x = 33,374,528,141.69/210,424.67
  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.