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Finding the Fourth Proportional to 294,294.24, 406,128.96 and 160,158.24

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Solution

The fourth proportional to 294,294.24, 406,128.96 and 160,158.24 is: 221,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,294.24 : 406,128.96 = 160,158.24 : x
  2. Step 2: Convert to fraction form
    294,294.24/406,128.96 = 160,158.24/x
  3. Step 3: Cross multiply
    294,294.24x = 406,128.96 × 160,158.24
  4. Step 4: Simplify right side
    294,294.24x = 65,044,899,446.63
  5. Step 5: Solve for x
    x = 65,044,899,446.63/294,294.24
  6. Step 6: Final answer
    x = 221,019.95

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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.