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Finding the Fourth Proportional to 152,289, 210,129.66 and 98,566.56

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Solution

The fourth proportional to 152,289, 210,129.66 and 98,566.56 is: 136,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,289 : 210,129.66 = 98,566.56 : x
  2. Step 2: Convert to fraction form
    152,289/210,129.66 = 98,566.56/x
  3. Step 3: Cross multiply
    152,289x = 210,129.66 × 98,566.56
  4. Step 4: Simplify right side
    152,289x = 20,711,757,740.17
  5. Step 5: Solve for x
    x = 20,711,757,740.17/152,289
  6. Step 6: Final answer
    x = 136,002.98

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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.