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Finding the Fourth Proportional to 177,693, 266,539.54 and 46,365

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Solution

The fourth proportional to 177,693, 266,539.54 and 46,365 is: 69,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,693 : 266,539.54 = 46,365 : x
  2. Step 2: Convert to fraction form
    177,693/266,539.54 = 46,365/x
  3. Step 3: Cross multiply
    177,693x = 266,539.54 × 46,365
  4. Step 4: Simplify right side
    177,693x = 12,358,105,772.10
  5. Step 5: Solve for x
    x = 12,358,105,772.10/177,693
  6. Step 6: Final answer
    x = 69,547.51

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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.