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Finding the Fourth Proportional to 169,002.88, 233,275.80 and 97,430.64

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Solution

The fourth proportional to 169,002.88, 233,275.80 and 97,430.64 is: 134,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,002.88 : 233,275.80 = 97,430.64 : x
  2. Step 2: Convert to fraction form
    169,002.88/233,275.80 = 97,430.64/x
  3. Step 3: Cross multiply
    169,002.88x = 233,275.80 × 97,430.64
  4. Step 4: Simplify right side
    169,002.88x = 22,728,210,490.51
  5. Step 5: Solve for x
    x = 22,728,210,490.51/169,002.88
  6. Step 6: Final answer
    x = 134,484.16

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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.