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Finding the Fourth Proportional to 152,281.56, 210,145.50 and 84,298.50

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Solution

The fourth proportional to 152,281.56, 210,145.50 and 84,298.50 is: 116,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,281.56 : 210,145.50 = 84,298.50 : x
  2. Step 2: Convert to fraction form
    152,281.56/210,145.50 = 84,298.50/x
  3. Step 3: Cross multiply
    152,281.56x = 210,145.50 × 84,298.50
  4. Step 4: Simplify right side
    152,281.56x = 17,714,950,431.75
  5. Step 5: Solve for x
    x = 17,714,950,431.75/152,281.56
  6. Step 6: Final answer
    x = 116,330.24

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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.