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Finding the Fourth Proportional to 265,970.02, 367,052.70 and 152,800.06

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Solution

The fourth proportional to 265,970.02, 367,052.70 and 152,800.06 is: 210,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,970.02 : 367,052.70 = 152,800.06 : x
  2. Step 2: Convert to fraction form
    265,970.02/367,052.70 = 152,800.06/x
  3. Step 3: Cross multiply
    265,970.02x = 367,052.70 × 152,800.06
  4. Step 4: Simplify right side
    265,970.02x = 56,085,674,583.16
  5. Step 5: Solve for x
    x = 56,085,674,583.16/265,970.02
  6. Step 6: Final answer
    x = 210,872.17

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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.