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Finding the Fourth Proportional to 265,206.74, 365,955.32 and 156,303.98

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Solution

The fourth proportional to 265,206.74, 365,955.32 and 156,303.98 is: 215,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,206.74 : 365,955.32 = 156,303.98 : x
  2. Step 2: Convert to fraction form
    265,206.74/365,955.32 = 156,303.98/x
  3. Step 3: Cross multiply
    265,206.74x = 365,955.32 × 156,303.98
  4. Step 4: Simplify right side
    265,206.74x = 57,200,273,018.17
  5. Step 5: Solve for x
    x = 57,200,273,018.17/265,206.74
  6. Step 6: Final answer
    x = 215,681.82

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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.