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Finding the Fourth Proportional to 228,068.44, 314,529.30 and 147,411.16

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Solution

The fourth proportional to 228,068.44, 314,529.30 and 147,411.16 is: 203,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,068.44 : 314,529.30 = 147,411.16 : x
  2. Step 2: Convert to fraction form
    228,068.44/314,529.30 = 147,411.16/x
  3. Step 3: Cross multiply
    228,068.44x = 314,529.30 × 147,411.16
  4. Step 4: Simplify right side
    228,068.44x = 46,365,128,966.99
  5. Step 5: Solve for x
    x = 46,365,128,966.99/228,068.44
  6. Step 6: Final answer
    x = 203,294.80

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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.