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Finding the Fourth Proportional to 152,307, 210,154.50 and 98,584.56

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Solution

The fourth proportional to 152,307, 210,154.50 and 98,584.56 is: 136,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307 : 210,154.50 = 98,584.56 : x
  2. Step 2: Convert to fraction form
    152,307/210,154.50 = 98,584.56/x
  3. Step 3: Cross multiply
    152,307x = 210,154.50 × 98,584.56
  4. Step 4: Simplify right side
    152,307x = 20,717,988,914.52
  5. Step 5: Solve for x
    x = 20,717,988,914.52/152,307
  6. Step 6: Final answer
    x = 136,027.82

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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.