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Finding the Fourth Proportional to 224,703.93, 309,665.12 and 160,931.01

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Solution

The fourth proportional to 224,703.93, 309,665.12 and 160,931.01 is: 221,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,703.93 : 309,665.12 = 160,931.01 : x
  2. Step 2: Convert to fraction form
    224,703.93/309,665.12 = 160,931.01/x
  3. Step 3: Cross multiply
    224,703.93x = 309,665.12 × 160,931.01
  4. Step 4: Simplify right side
    224,703.93x = 49,834,719,718.72
  5. Step 5: Solve for x
    x = 49,834,719,718.72/224,703.93
  6. Step 6: Final answer
    x = 221,779.48

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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.