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Finding the Fourth Proportional to 176,222.34, 243,128.94 and 99,733.86

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Solution

The fourth proportional to 176,222.34, 243,128.94 and 99,733.86 is: 137,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,222.34 : 243,128.94 = 99,733.86 : x
  2. Step 2: Convert to fraction form
    176,222.34/243,128.94 = 99,733.86/x
  3. Step 3: Cross multiply
    176,222.34x = 243,128.94 × 99,733.86
  4. Step 4: Simplify right side
    176,222.34x = 24,248,187,663.91
  5. Step 5: Solve for x
    x = 24,248,187,663.91/176,222.34
  6. Step 6: Final answer
    x = 137,599.96

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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.