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Finding the Fourth Proportional to 98,507.92, 147,835.74 and 70,041.28

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Solution

The fourth proportional to 98,507.92, 147,835.74 and 70,041.28 is: 105,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,507.92 : 147,835.74 = 70,041.28 : x
  2. Step 2: Convert to fraction form
    98,507.92/147,835.74 = 70,041.28/x
  3. Step 3: Cross multiply
    98,507.92x = 147,835.74 × 70,041.28
  4. Step 4: Simplify right side
    98,507.92x = 10,354,604,459.35
  5. Step 5: Solve for x
    x = 10,354,604,459.35/98,507.92
  6. Step 6: Final answer
    x = 105,114.44

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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.