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Finding the Fourth Proportional to 152,383.48, 210,271.24 and 87,852

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Solution

The fourth proportional to 152,383.48, 210,271.24 and 87,852 is: 121,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,383.48 : 210,271.24 = 87,852 : x
  2. Step 2: Convert to fraction form
    152,383.48/210,271.24 = 87,852/x
  3. Step 3: Cross multiply
    152,383.48x = 210,271.24 × 87,852
  4. Step 4: Simplify right side
    152,383.48x = 18,472,748,976.48
  5. Step 5: Solve for x
    x = 18,472,748,976.48/152,383.48
  6. Step 6: Final answer
    x = 121,225.40

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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.