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Finding the Fourth Proportional to 98,152.88, 147,151.32 and 42,710

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Solution

The fourth proportional to 98,152.88, 147,151.32 and 42,710 is: 64,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,152.88 : 147,151.32 = 42,710 : x
  2. Step 2: Convert to fraction form
    98,152.88/147,151.32 = 42,710/x
  3. Step 3: Cross multiply
    98,152.88x = 147,151.32 × 42,710
  4. Step 4: Simplify right side
    98,152.88x = 6,284,832,877.20
  5. Step 5: Solve for x
    x = 6,284,832,877.20/98,152.88
  6. Step 6: Final answer
    x = 64,031.06

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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.