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Finding the Fourth Proportional to 152,155.68, 209,904.06 and 98,458.02

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Solution

The fourth proportional to 152,155.68, 209,904.06 and 98,458.02 is: 135,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,155.68 : 209,904.06 = 98,458.02 : x
  2. Step 2: Convert to fraction form
    152,155.68/209,904.06 = 98,458.02/x
  3. Step 3: Cross multiply
    152,155.68x = 209,904.06 × 98,458.02
  4. Step 4: Simplify right side
    152,155.68x = 20,666,738,137.56
  5. Step 5: Solve for x
    x = 20,666,738,137.56/152,155.68
  6. Step 6: Final answer
    x = 135,826.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.