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Finding the Fourth Proportional to 510,078.06, 765,159.94 and 155,095.16

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Solution

The fourth proportional to 510,078.06, 765,159.94 and 155,095.16 is: 232,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,078.06 : 765,159.94 = 155,095.16 : x
  2. Step 2: Convert to fraction form
    510,078.06/765,159.94 = 155,095.16/x
  3. Step 3: Cross multiply
    510,078.06x = 765,159.94 × 155,095.16
  4. Step 4: Simplify right side
    510,078.06x = 118,672,603,319.89
  5. Step 5: Solve for x
    x = 118,672,603,319.89/510,078.06
  6. Step 6: Final answer
    x = 232,655.77

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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.