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Finding the Fourth Proportional to 164,547.84, 246,830.97 and 46,209.93

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Solution

The fourth proportional to 164,547.84, 246,830.97 and 46,209.93 is: 69,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,547.84 : 246,830.97 = 46,209.93 : x
  2. Step 2: Convert to fraction form
    164,547.84/246,830.97 = 46,209.93/x
  3. Step 3: Cross multiply
    164,547.84x = 246,830.97 × 46,209.93
  4. Step 4: Simplify right side
    164,547.84x = 11,406,041,845.53
  5. Step 5: Solve for x
    x = 11,406,041,845.53/164,547.84
  6. Step 6: Final answer
    x = 69,317.48

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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.