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Finding the Fourth Proportional to 228,126.46, 342,485.50 and 152,707.51

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Solution

The fourth proportional to 228,126.46, 342,485.50 and 152,707.51 is: 229,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,126.46 : 342,485.50 = 152,707.51 : x
  2. Step 2: Convert to fraction form
    228,126.46/342,485.50 = 152,707.51/x
  3. Step 3: Cross multiply
    228,126.46x = 342,485.50 × 152,707.51
  4. Step 4: Simplify right side
    228,126.46x = 52,300,107,916.11
  5. Step 5: Solve for x
    x = 52,300,107,916.11/228,126.46
  6. Step 6: Final answer
    x = 229,259.28

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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.