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Finding the Fourth Proportional to 228,018.65, 314,589.02 and 147,547.98

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Solution

The fourth proportional to 228,018.65, 314,589.02 and 147,547.98 is: 203,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,018.65 : 314,589.02 = 147,547.98 : x
  2. Step 2: Convert to fraction form
    228,018.65/314,589.02 = 147,547.98/x
  3. Step 3: Cross multiply
    228,018.65x = 314,589.02 × 147,547.98
  4. Step 4: Simplify right side
    228,018.65x = 46,416,973,693.44
  5. Step 5: Solve for x
    x = 46,416,973,693.44/228,018.65
  6. Step 6: Final answer
    x = 203,566.57

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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.