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Finding the Fourth Proportional to 107,095.95, 160,468.68 and 64,848.08

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Solution

The fourth proportional to 107,095.95, 160,468.68 and 64,848.08 is: 97,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,095.95 : 160,468.68 = 64,848.08 : x
  2. Step 2: Convert to fraction form
    107,095.95/160,468.68 = 64,848.08/x
  3. Step 3: Cross multiply
    107,095.95x = 160,468.68 × 64,848.08
  4. Step 4: Simplify right side
    107,095.95x = 10,406,084,995.79
  5. Step 5: Solve for x
    x = 10,406,084,995.79/107,095.95
  6. Step 6: Final answer
    x = 97,166.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.