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Finding the Fourth Proportional to 176,214.64, 243,188.24 and 99,733.80

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Solution

The fourth proportional to 176,214.64, 243,188.24 and 99,733.80 is: 137,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,214.64 : 243,188.24 = 99,733.80 : x
  2. Step 2: Convert to fraction form
    176,214.64/243,188.24 = 99,733.80/x
  3. Step 3: Cross multiply
    176,214.64x = 243,188.24 × 99,733.80
  4. Step 4: Simplify right side
    176,214.64x = 24,254,087,290.51
  5. Step 5: Solve for x
    x = 24,254,087,290.51/176,214.64
  6. Step 6: Final answer
    x = 137,639.46

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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.