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Finding the Fourth Proportional to 134,038.16, 201,058.80 and 34,198.16

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Solution

The fourth proportional to 134,038.16, 201,058.80 and 34,198.16 is: 51,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,038.16 : 201,058.80 = 34,198.16 : x
  2. Step 2: Convert to fraction form
    134,038.16/201,058.80 = 34,198.16/x
  3. Step 3: Cross multiply
    134,038.16x = 201,058.80 × 34,198.16
  4. Step 4: Simplify right side
    134,038.16x = 6,875,841,011.81
  5. Step 5: Solve for x
    x = 6,875,841,011.81/134,038.16
  6. Step 6: Final answer
    x = 51,297.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.