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Finding the Fourth Proportional to 152,070.59, 209,848.95 and 84,083.48

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Solution

The fourth proportional to 152,070.59, 209,848.95 and 84,083.48 is: 116,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,070.59 : 209,848.95 = 84,083.48 : x
  2. Step 2: Convert to fraction form
    152,070.59/209,848.95 = 84,083.48/x
  3. Step 3: Cross multiply
    152,070.59x = 209,848.95 × 84,083.48
  4. Step 4: Simplify right side
    152,070.59x = 17,644,829,990.35
  5. Step 5: Solve for x
    x = 17,644,829,990.35/152,070.59
  6. Step 6: Final answer
    x = 116,030.52

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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.