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Finding the Fourth Proportional to 265,546, 366,457.13 and 152,368.75

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Solution

The fourth proportional to 265,546, 366,457.13 and 152,368.75 is: 210,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,546 : 366,457.13 = 152,368.75 : x
  2. Step 2: Convert to fraction form
    265,546/366,457.13 = 152,368.75/x
  3. Step 3: Cross multiply
    265,546x = 366,457.13 × 152,368.75
  4. Step 4: Simplify right side
    265,546x = 55,836,614,826.69
  5. Step 5: Solve for x
    x = 55,836,614,826.69/265,546
  6. Step 6: Final answer
    x = 210,270.97

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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.