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Finding the Fourth Proportional to 228,457.96, 342,802.14 and 128,729.32

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Solution

The fourth proportional to 228,457.96, 342,802.14 and 128,729.32 is: 193,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,457.96 : 342,802.14 = 128,729.32 : x
  2. Step 2: Convert to fraction form
    228,457.96/342,802.14 = 128,729.32/x
  3. Step 3: Cross multiply
    228,457.96x = 342,802.14 × 128,729.32
  4. Step 4: Simplify right side
    228,457.96x = 44,128,686,376.74
  5. Step 5: Solve for x
    x = 44,128,686,376.74/228,457.96
  6. Step 6: Final answer
    x = 193,158.89

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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.