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Finding the Fourth Proportional to 207,686.61, 286,607.16 and 112,193.01

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Solution

The fourth proportional to 207,686.61, 286,607.16 and 112,193.01 is: 154,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686.61 : 286,607.16 = 112,193.01 : x
  2. Step 2: Convert to fraction form
    207,686.61/286,607.16 = 112,193.01/x
  3. Step 3: Cross multiply
    207,686.61x = 286,607.16 × 112,193.01
  4. Step 4: Simplify right side
    207,686.61x = 32,155,319,967.95
  5. Step 5: Solve for x
    x = 32,155,319,967.95/207,686.61
  6. Step 6: Final answer
    x = 154,826.16

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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.