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Finding the Fourth Proportional to 102,101.88, 153,152.82 and 46,659

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Solution

The fourth proportional to 102,101.88, 153,152.82 and 46,659 is: 69,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.88 : 153,152.82 = 46,659 : x
  2. Step 2: Convert to fraction form
    102,101.88/153,152.82 = 46,659/x
  3. Step 3: Cross multiply
    102,101.88x = 153,152.82 × 46,659
  4. Step 4: Simplify right side
    102,101.88x = 7,145,957,428.38
  5. Step 5: Solve for x
    x = 7,145,957,428.38/102,101.88
  6. Step 6: Final answer
    x = 69,988.50

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1.5x scale

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.