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Finding the Fourth Proportional to 97,357.41, 145,724.47 and 70,610.40

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Solution

The fourth proportional to 97,357.41, 145,724.47 and 70,610.40 is: 105,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,357.41 : 145,724.47 = 70,610.40 : x
  2. Step 2: Convert to fraction form
    97,357.41/145,724.47 = 70,610.40/x
  3. Step 3: Cross multiply
    97,357.41x = 145,724.47 × 70,610.40
  4. Step 4: Simplify right side
    97,357.41x = 10,289,662,939.96
  5. Step 5: Solve for x
    x = 10,289,662,939.96/97,357.41
  6. Step 6: Final answer
    x = 105,689.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.