Finding the Fourth Proportional to 175,488,278.10, 242,170,866.24 and 97,170,149.58
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Solution
The fourth proportional to 175,488,278.10, 242,170,866.24 and 97,170,149.58 is: 134,093,168.79
Step by Step Solution
- Step 1: Write the proportion equation
175,488,278.10 : 242,170,866.24 = 97,170,149.58 : x - Step 2: Convert to fraction form
175,488,278.10/242,170,866.24 = 97,170,149.58/x - Step 3: Cross multiply
175,488,278.10x = 242,170,866.24 × 97,170,149.58 - Step 4: Simplify right side
175,488,278.10x = 23,531,779,296,458,972 - Step 5: Solve for x
x = 23,531,779,296,458,972/175,488,278.10 - Step 6: Final answer
x = 134,093,168.79
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1.5x scale
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.