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Finding the Fourth Proportional to 130,209, 179,666.82 and 81,803.40

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Solution

The fourth proportional to 130,209, 179,666.82 and 81,803.40 is: 112,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,209 : 179,666.82 = 81,803.40 : x
  2. Step 2: Convert to fraction form
    130,209/179,666.82 = 81,803.40/x
  3. Step 3: Cross multiply
    130,209x = 179,666.82 × 81,803.40
  4. Step 4: Simplify right side
    130,209x = 14,697,356,743.19
  5. Step 5: Solve for x
    x = 14,697,356,743.19/130,209
  6. Step 6: Final answer
    x = 112,875.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.