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Finding the Fourth Proportional to 270,547.16, 405,876.08 and 93,031.10

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Solution

The fourth proportional to 270,547.16, 405,876.08 and 93,031.10 is: 139,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,547.16 : 405,876.08 = 93,031.10 : x
  2. Step 2: Convert to fraction form
    270,547.16/405,876.08 = 93,031.10/x
  3. Step 3: Cross multiply
    270,547.16x = 405,876.08 × 93,031.10
  4. Step 4: Simplify right side
    270,547.16x = 37,759,097,911.32
  5. Step 5: Solve for x
    x = 37,759,097,911.32/270,547.16
  6. Step 6: Final answer
    x = 139,565.68

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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.