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Finding the Fourth Proportional to 99,152.25, 136,830.11 and 53,830.17

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Solution

The fourth proportional to 99,152.25, 136,830.11 and 53,830.17 is: 74,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,152.25 : 136,830.11 = 53,830.17 : x
  2. Step 2: Convert to fraction form
    99,152.25/136,830.11 = 53,830.17/x
  3. Step 3: Cross multiply
    99,152.25x = 136,830.11 × 53,830.17
  4. Step 4: Simplify right side
    99,152.25x = 7,365,588,116.06
  5. Step 5: Solve for x
    x = 7,365,588,116.06/99,152.25
  6. Step 6: Final answer
    x = 74,285.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.