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Finding the Fourth Proportional to 262,897.26, 362,798.37 and 142,038.51

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Solution

The fourth proportional to 262,897.26, 362,798.37 and 142,038.51 is: 196,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,897.26 : 362,798.37 = 142,038.51 : x
  2. Step 2: Convert to fraction form
    262,897.26/362,798.37 = 142,038.51/x
  3. Step 3: Cross multiply
    262,897.26x = 362,798.37 × 142,038.51
  4. Step 4: Simplify right side
    262,897.26x = 51,531,339,905.23
  5. Step 5: Solve for x
    x = 51,531,339,905.23/262,897.26
  6. Step 6: Final answer
    x = 196,013.23

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1.5x scale

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.