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Finding the Fourth Proportional to 153,521.95, 211,851.84 and 84,597.84

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Solution

The fourth proportional to 153,521.95, 211,851.84 and 84,597.84 is: 116,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,521.95 : 211,851.84 = 84,597.84 : x
  2. Step 2: Convert to fraction form
    153,521.95/211,851.84 = 84,597.84/x
  3. Step 3: Cross multiply
    153,521.95x = 211,851.84 × 84,597.84
  4. Step 4: Simplify right side
    153,521.95x = 17,922,208,064.03
  5. Step 5: Solve for x
    x = 17,922,208,064.03/153,521.95
  6. Step 6: Final answer
    x = 116,740.36

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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.