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Finding the Fourth Proportional to 169,020.84, 233,300.64 and 97,448.64

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Solution

The fourth proportional to 169,020.84, 233,300.64 and 97,448.64 is: 134,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,020.84 : 233,300.64 = 97,448.64 : x
  2. Step 2: Convert to fraction form
    169,020.84/233,300.64 = 97,448.64/x
  3. Step 3: Cross multiply
    169,020.84x = 233,300.64 × 97,448.64
  4. Step 4: Simplify right side
    169,020.84x = 22,734,830,079.13
  5. Step 5: Solve for x
    x = 22,734,830,079.13/169,020.84
  6. Step 6: Final answer
    x = 134,509.03

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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.