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Finding the Fourth Proportional to 111,212.94, 152,976.15 and 97,533.66

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Solution

The fourth proportional to 111,212.94, 152,976.15 and 97,533.66 is: 134,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,212.94 : 152,976.15 = 97,533.66 : x
  2. Step 2: Convert to fraction form
    111,212.94/152,976.15 = 97,533.66/x
  3. Step 3: Cross multiply
    111,212.94x = 152,976.15 × 97,533.66
  4. Step 4: Simplify right side
    111,212.94x = 14,920,323,802.21
  5. Step 5: Solve for x
    x = 14,920,323,802.21/111,212.94
  6. Step 6: Final answer
    x = 134,159.96

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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.