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Finding the Fourth Proportional to 152,034.68, 228,052 and 46,853.64

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Solution

The fourth proportional to 152,034.68, 228,052 and 46,853.64 is: 70,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034.68 : 228,052 = 46,853.64 : x
  2. Step 2: Convert to fraction form
    152,034.68/228,052 = 46,853.64/x
  3. Step 3: Cross multiply
    152,034.68x = 228,052 × 46,853.64
  4. Step 4: Simplify right side
    152,034.68x = 10,685,066,309.28
  5. Step 5: Solve for x
    x = 10,685,066,309.28/152,034.68
  6. Step 6: Final answer
    x = 70,280.45

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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.