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Finding the Fourth Proportional to 512,025.01, 767,970.08 and 152,188.18

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Solution

The fourth proportional to 512,025.01, 767,970.08 and 152,188.18 is: 228,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,025.01 : 767,970.08 = 152,188.18 : x
  2. Step 2: Convert to fraction form
    512,025.01/767,970.08 = 152,188.18/x
  3. Step 3: Cross multiply
    512,025.01x = 767,970.08 × 152,188.18
  4. Step 4: Simplify right side
    512,025.01x = 116,875,966,088.79
  5. Step 5: Solve for x
    x = 116,875,966,088.79/512,025.01
  6. Step 6: Final answer
    x = 228,262.22

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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.