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Finding the Fourth Proportional to 152,289.71, 210,157.28 and 84,305.29

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Solution

The fourth proportional to 152,289.71, 210,157.28 and 84,305.29 is: 116,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,289.71 : 210,157.28 = 84,305.29 : x
  2. Step 2: Convert to fraction form
    152,289.71/210,157.28 = 84,305.29/x
  3. Step 3: Cross multiply
    152,289.71x = 210,157.28 × 84,305.29
  4. Step 4: Simplify right side
    152,289.71x = 17,717,369,385.22
  5. Step 5: Solve for x
    x = 17,717,369,385.22/152,289.71
  6. Step 6: Final answer
    x = 116,339.90

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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.