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Finding the Fourth Proportional to 282,967, 390,549.94 and 162,189.26

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Solution

The fourth proportional to 282,967, 390,549.94 and 162,189.26 is: 223,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967 : 390,549.94 = 162,189.26 : x
  2. Step 2: Convert to fraction form
    282,967/390,549.94 = 162,189.26/x
  3. Step 3: Cross multiply
    282,967x = 390,549.94 × 162,189.26
  4. Step 4: Simplify right side
    282,967x = 63,343,005,761.64
  5. Step 5: Solve for x
    x = 63,343,005,761.64/282,967
  6. Step 6: Final answer
    x = 223,852.98

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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.